-
For a discrete poset $\mathcal X$, McCord proved that the natural map $|{\mathcal X}|\to {\mathcal X}$, from the order complex to the poset with the Up topology, is a weak homotopy equivalence. Much later, uZivaljević defined the notion of order complex for a …
arxiv
Ulysses Alvarez, Ross Geoghegan
2020-09-10T21:28:40Z
置信度 0.78
math.COmath.AT
-
We show the existence of a new hidden topological order in $^{23}Na$ (F=1) Bose-Einstein condensates (BEC) with antiferromagnetic interactions. Occurrence of this order is due to the confinement of hedgehogs in BEC where a spin Josephson effect takes place. Ho…
arxiv
Fei Zhou
2001-07-12T18:08:26Z
置信度 0.78
cond-mat.stat-mechcond-mat.mes-hallcond-mat.str-el
-
Unsupervised machine learning is a cornerstone of artificial intelligence as it provides algorithms capable of learning tasks, such as classification of data, without explicit human assistance. We present an unsupervised deep learning protocol for finding topo…
arxiv
Oleksandr Balabanov, Mats Granath
2019-08-09T14:14:57Z
置信度 0.78
cond-mat.dis-nncond-mat.str-elquant-ph
-
In this work we provide a classification scheme for topological phases of certain systems whose observable algebra is described by a trivial $C^*$-bundles. The classification is based on the study of the homotopy classes of \emph{configurations}, which are map…
arxiv
Giuseppe De Nittis
2025-02-05T20:12:31Z
置信度 0.78
math-phcond-mat.mes-hall
-
We investigate the coupling of two spatially separated qubits via topologically protected edge states in a two-dimensional Hofstadter lattice. In this hybrid platform, the qubits are coupled to distinct edge sites of the lattice, enabling long-range interactio…
arxiv
Boris Gurevich, Weihua Xie, Mohsen Yarmohammadi, Michael H. Kolodrubetz
2025-07-28T18:00:02Z
置信度 0.78
quant-phcond-mat.str-el
-
Population-transfer schemes are commonly used to convert information robustly stored in some quantum system for manipulation and memory into more macroscopic degrees of freedom for measurement. These schemes may include, e.g., spin-to-charge conversion for spi…
arxiv
F. Fehse, M. David, M. Pioro-Ladrière, W. A. Coish
2022-03-14T21:54:01Z
置信度 0.78
cond-mat.mes-hallquant-ph
-
The exploration of topologically-ordered states of matter is a long-standing goal at the interface of several subfields of the physical sciences. Such states feature intriguing physical properties such as long-range entanglement, emergent gauge fields and non-…
arxiv
Iris Cong, Nishad Maskara, Minh C. Tran, Hannes Pichler 等
2022-09-26T05:31:04Z
置信度 0.78
quant-phcond-mat.str-elhep-lat
-
An old branch of mathematics, Topology, has opened the road to the discovery of new phases of matter. A hidden topology in the energy spectrum is the key for novel conducting/insulating properties of topological matter.
arxiv
Manuel Asorey
2016-07-03T18:43:51Z
置信度 0.78
cond-mat.mes-hallhep-thmath-phphysics.pop-phquant-ph
-
A Josephson qubit is designed via the application of a tensile strain to a topological insulator surface sandwiched between two s-wave superconductors. The strain applied leads to a shift in the Dirac point without changing the pre-existing conducting states, …
arxiv
Colin Benjamin
2014-08-15T15:51:50Z
置信度 0.78
cond-mat.mes-hallmath-phquant-ph
-
Topological quantum computation relies on control of non-Abelian anyons for inherently fault-tolerant storage and processing of quantum information. By now, blueprints for topological qubits are well developed for electrically active topological superconductor…
arxiv
Kai Klocke, Yue Liu, Gábor B. Halász, Jason Alicea
2024-11-12T19:00:00Z
置信度 0.78
cond-mat.str-elcond-mat.mes-hall
-
We establish and explore a new connection between quantum information theory and classical statistical mechanics by studying the problem of qubit losses in 2D topological color codes. We introduce a protocol to cope with qubit losses, which is based on the ide…
arxiv
D. Vodola, D. Amaro, M. A. Martin-Delgado, M. Müller
2018-02-13T10:34:58Z
置信度 0.78
quant-phcond-mat.stat-mech
-
We extend the recent study of 3d tt* geometry to 5d (4d) N=1 (N=2) supersymmetric theories. We show how the amplitudes of tt* geometry lead to an extension of topological strings and Nekrasov partition functions to twistor space, where the north/south poles of…
arxiv
Cumrun Vafa
2014-02-11T21:35:53Z
置信度 0.78
hep-th
-
We introduce a new hybrid qubit consisting of a Majorana qubit interacting with a transmon longitudinally coupled to a resonator. To do so, we equip the longitudinal transmon qubit with topological quasiparticles, supported by an array of heterostructure nanow…
arxiv
Alec Dinerstein, Caroline S. Gorham, Eugene F. Dumitrescu
2020-09-25T14:55:05Z
置信度 0.78
quant-ph
-
Quantum thermal states are known to be passive, as required by the second law of thermodynamics. This paper investigates the potential for work extraction by coupling a thermal bath to a qubit of either spin, fermionic, or topological type, which acts as a qua…
arxiv
Jhh-Jing Hong, Feng-Li Lin
2025-02-26T04:41:41Z
置信度 0.78
quant-phcond-mat.stat-mechgr-qchep-th
-
Topological phases of matter have sparked an immense amount of activity in recent decades. Topological materials are classified by topological invariants that act as a non-local order parameter for any symmetry and condition. As a result, they exhibit quantize…
arxiv
Oded Zilberberg
2020-12-07T12:53:23Z
置信度 0.78
cond-mat.mtrl-scicond-mat.mes-hallcond-mat.quant-gascond-mat.softphysics.optics
-
In this paper we mainly study the dynamical complexity of Birkhoff ergodic average under the simultaneous observation of any number of continuous functions. These results can be as generalizations of [6,35] etc. to study Birkhorff ergodic average from one (or …
arxiv
Xueting Tian
2014-08-18T10:24:32Z
置信度 0.78
math.DS
-
We construct a minimal circuit, based on the top-transmon design, to rotate a qubit formed out of four Majorana zero-modes at the edge of a two-dimensional topological insulator. Unlike braiding operations, generic rotations have no topological protection, but…
arxiv
B. van Heck, T. Hyart, C. W. J. Beenakker
2014-07-10T16:23:04Z
置信度 0.78
cond-mat.mes-hallquant-ph
-
Topological complexity for spaces was introduced by M. Farber as a minimal number of continuity domains for motion planning algorithms. It turns out that this notion can be extended to the case of not necessarily commutative C*-algebras. Topological complexity…
arxiv
Vladimir Manuilov
2016-09-13T19:53:30Z
置信度 0.78
math.OA
-
Maximally entangled two-qubit states (Bell states) are of central importance in quantum technologies. We show that heralded generation of a maximally entangled state of two intrinsically open qubits can be realized in a one-dimensional (1d) system through stro…
arxiv
Xin H. H. Zhang, Harold U. Baranger
2018-09-03T18:31:45Z
置信度 0.78
quant-phcond-mat.mes-hall
-
In this note a notion of generalized topological entropy for arbitrary subsets of the space of all sequences in a compact topological space is introduced. It is shown that for a continuous map on a compact space the generalized topological entropy of the set o…
arxiv
Maysam Maysami Sadr, Mina Shahrestani
2020-05-26T16:36:24Z
置信度 0.78
math.DS
-
We consider two distant spin qubits in quantum dots, both coupled to a two-dimensional topological ferromagnet hosting chiral magnon edge states at the boundary. The chiral magnon is used to mediate entanglement between the spin qubits, realizing a fundamental…
arxiv
Bence Hetényi, Alexander Mook, Jelena Klinovaja, Daniel Loss
2022-07-04T08:56:15Z
置信度 0.78
cond-mat.mes-hall
-
It is shown that Majorana fermions trapped in three vortices in a p-wave superfluid form a qubit in a topological quantum computing (TQC). Several similar ideas have already been proposed: Ivanov [Phys. Rev. Lett. {\bf 86}, 268 (2001)] and Zhang {\it et al.} […
arxiv
Tetsuo Ohmi, Mikio Nakahara
2009-06-24T10:40:22Z
置信度 0.78
quant-ph
-
Topological superconductors, whose edge hosts Majorana bound states or Majorana fermions that obey non-Abelian statistics, can be used for low-decoherence quantum computations. Most of the proposed topological superconductors are realized with spin-helical sta…
arxiv
Peng Zhang, Koichiro Yaji, Takahiro Hashimoto, Yuichi Ota 等
2017-06-16T07:17:59Z
置信度 0.78
cond-mat.supr-concond-mat.mtrl-scicond-mat.str-el
-
Data from angle resolved photo-emission spectroscopy (ARPES) often serves as a smoking-gun evidence for the existence of topological materials. It provides the energy dispersion curves of the topological boundary modes which characterize these phases. Unfortun…
arxiv
Zohar Ringel
2015-09-28T20:10:03Z
置信度 0.78
cond-mat.mes-hall
-
Symmetry fractionalization (SF) on topological excitations is one of the most remarkable quantum phenomena in topological orders with symmetry, i.e., symmetry-enriched topological phases. While much progress has been theoretically and experimentally made in 2D…
arxiv
Shang-Qiang Ning, Zheng-Xin Liu, Peng Ye
2018-01-05T05:43:52Z
置信度 0.78
cond-mat.str-elhep-th
-
We give an introduction to topological crystalline insulators, that is, gapped ground states of quantum matter that are not adiabatically connected to an atomic limit without breaking symmetries that include spatial transformations, like mirror or rotational s…
arxiv
Titus Neupert, Frank Schindler
2018-10-08T14:16:03Z
置信度 0.78
cond-mat.mes-hall
-
Milnor manifolds are a class of certain codimension-$1$ submanifolds of the product of projective spaces. In this paper, we study the LS-category and topological complexity of these manifolds. We determine the exact value of the LS-category and in many cases, …
arxiv
Navnath Daundkar
2023-03-06T18:05:09Z
置信度 0.78
math.AT
-
We give an introductory review of topological strings and their application to various aspects of superstrings and supersymmetric gauge theories. This review includes developing the necessary mathematical background for topological strings, such as the notions…
arxiv
Andrew Neitzke, Cumrun Vafa
2004-10-16T19:20:10Z
置信度 0.78
hep-th
-
Topological states in photonics offer novel prospects for guiding and manipulating photons and facilitate the development of modern optical components for a variety of applications. Over the past few years, photonic topology physics has evolved and unveiled va…
arxiv
Robin Singh, Anuradha Murthy Agarwal, Brian W Anthony
2020-05-19T15:46:53Z
置信度 0.78
physics.app-phphysics.comp-phphysics.optics
-
crossref
Keisuke Fujii
2015-12-14T20:52:38Z
置信度 0.70
-
crossref
Keisuke Fujii
2015-12-14T20:52:38Z
置信度 0.70
-
crossref
Keisuke Fujii
2015-12-14T20:52:38Z
置信度 0.70
-
crossref
Philip Ball
2025-04-08T17:01:58Z
置信度 0.70
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crossref
Matteo Rini
2025-04-08T17:01:58Z
置信度 0.70
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crossref
Keisuke Fujii
2015-12-14T20:52:38Z
置信度 0.70
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crossref
Yang Song, S. Das Sarma
2018-08-31T10:01:51Z
置信度 0.70
-
crossref
Adrian D. Scheppe, Michael V. Pak
2022-01-12T15:59:02Z
置信度 0.70
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crossref
Haitan Xu, J. M. Taylor
2011-07-26T15:50:47Z
置信度 0.70
-
crossref
Mehdi Kargarian
2012-10-17T20:37:15Z
置信度 0.70
-
Abstract We present a scheme for encoding and decoding an unknown state for CSS codes, based on syndrome measurements. We illustrate our method by means of Kitaev toric code, defected-lattice code, topological subsystem code and 3D Haah code. The protocol is l…
crossref
Justyna Łodyga, Paweł Mazurek, Andrzej Grudka, Michał Horodecki
2015-03-10T10:06:09Z
置信度 0.70
-
crossref
F. E. Camino, W. Zhou, V. J. Goldman
2006-09-06T04:33:32Z
置信度 0.70
-
crossref
Nurul Ain Binti Adnan, Shigeru Yamashita, Simon J. Devitt, Kae Nemoto
2014-07-05T14:50:00Z
置信度 0.70
-
crossref
Annie Jihyun Park, Emma McKay, Dawei Lu, Raymond Laflamme
2016-04-28T11:13:43Z
置信度 0.70
-
crossref
Pei-Hua Liu, Feng-Li Lin
2017-08-24T06:15:05Z
置信度 0.70
-
Abstract Topological quantum computation is an implementation of a quantum computer in a way that radically reduces decoherence. Topological qubits are encoded in the topological evolution of two-dimensional quasi-particles called anyons and universal set of q…
crossref
M T Rouabah, N E Belaloui, A Tounsi
2021-02-23T18:24:17Z
置信度 0.70
-
crossref
Ting Mao, Z. D. Wang
2015-01-28T17:08:35Z
置信度 0.70
-
crossref
Mingxuan Wang, David van Zanten
2023-09-10T02:12:30Z
置信度 0.70
-
crossref
Hoshang Heydari
2007-07-25T03:13:44Z
置信度 0.70
-
In this study, building on the 1D topological Su–Schrieffer–Heeger (SSH) model, we propose a model of quantum dot arrays with odd and even parity and variable on-site local potentials to examine topological edge states and a possible quantum information encodi…
crossref
Nikolaos Petropoulos, Robert Bogdan Staszewski, Dirk Leipold, Elena Blokhina
2022-02-18T10:49:10Z
置信度 0.70
-
crossref
Hai-Tao Cui, Jun-Long Tian, Gui Yang
2015-01-16T11:13:16Z
置信度 0.70
-
crossref
Matthew A. Steinberg, Sebastian Feld, Carmen G. Almudever, Michael Marthaler 等
2022-03-16T19:45:34Z
置信度 0.70
-
crossref
Junhua Dong, Bingsuo Zou, Yongyou Zhang
2023-08-17T14:14:15Z
置信度 0.70
-
In this paper, a set of topological basis realization is presented. By acting on the different subspaces, we obtain the new nontrivial six-dimensional (6D) and four-dimensional Temperley–Lieb matrix representations. Then it is shown that XXZ model can be const…
crossref
GUIJIAO DU, KANG XUE, CHUNFANG SUN, GANGCHENG WANG 等
2012-04-10T07:35:19Z
置信度 0.70
-
crossref
Guijiao Du, Kang Xue, Chengcheng Zhou, Chunfang Sun 等
2013-02-08T12:26:42Z
置信度 0.70
-
crossref
Max Hays
2022-01-01T05:31:58Z
置信度 0.70
-
Abstract Conventionally the occurrence of topological phase transitions (TPTs) requires gap closing, whereas there are also unconventional cases without need of gap closing. Although traditionally TPTs lie in many‐body systems in condensed matter, both cases o…
crossref
Zu‐Jian Ying
2022-04-13T00:51:37Z
置信度 0.70
-
crossref
Stefano Olivares
2026-06-09T09:46:33Z
置信度 0.70
-
crossref
Y. L. Dong, Titus Neupert, R. Chitra, Sebastian Schmidt
2016-07-25T18:08:23Z
置信度 0.70
-
In this paper, a bidirectional controlled quantum teleportation via a nine-qubit entangled state is given. In this scheme, Alice wants to teleport a two-qubit entangled state to Bob and Bob wants to teleport arbitrary three-qubit state to Alice at the same tim…
crossref
Jinwei Wang
2022-03-19T05:18:08Z
置信度 0.70
-
crossref
Hiu Yung Wong
2025-03-27T06:02:43Z
置信度 0.70
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crossref
Bo Liu, Kang Xue, Gangcheng Wang
2016-12-15T01:34:47Z
置信度 0.70
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crossref
Efren Anguiano, David Van Zanten
2024-08-10T02:17:05Z
置信度 0.70
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crossref
Tenghui Wang, Zhenxing Zhang, Liang Xiang, Zhihao Gong 等
2018-01-17T03:11:20Z
置信度 0.70
-
Proposals to measure non-Abelian anyons in a superconductor by quantum interference of vortices suffer from the predominantly classical dynamics of the normal core of an Abrikosov vortex.We show how to avoid this obstruction using coreless Josephson vortices, …
openalex
Fabian Hassler, Anton Akhmerov, C-Y Hou, C. W. J. Beenakker
2010-12-01
置信度 0.72
Topological quantum computerPhysicsFlux qubitPhase qubitQubit
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We examine how best to design qubits for use in topological quantum computation. These qubits are topological Hilbert spaces associated with small groups of anyons. Operations are performed on these by exchanging the anyons. One might argue that in order to ha…
openalex
Robert Ainsworth, J. K. Slingerland
2011-06-30
置信度 0.72
Topological quantum computerAnyonQubitPhysicsTopology (electrical circuits)
-
The Pfaffian state is an attractive candidate for the observed quantized Hall plateau at a Landau-level filling fraction nu=5/2. This is particularly intriguing because this state has unusual topological properties, including quasiparticle excitations with non…
openalex
S. Das Sarma, Michael Freedman, Chetan Nayak
2005-04-27
置信度 0.72
QuasiparticlePfaffianQuantum Hall effectPhysicsQuantum mechanics
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The construction of a quantum computer remains a fundamental scientific and technological challenge because of the influence of unavoidable noise. Quantum states and operations can be protected from errors through the use of protocols for quantum computing wit…
openalex
Daniel Nigg, Markus Müller, Esteban A. Martinez, Philipp Schindler 等
2014-06-13
置信度 0.72
QubitComputationQuantumQuantum computerComputational biology
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We develop an approach to realizing a topological phase transition and non-Abelian braiding statistics with dynamically induced Floquet Majorana fermions (FMFs). When the periodic driving potential does not break fermion parity conservation, FMFs can encode qu…
openalex
Dong E. Liu, Alex Levchenko, Harold U. Baranger
2013-07-22
置信度 0.72
Floquet theoryPhysicsFermionMAJORANAQubit
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Topological qubits can process and store quantum information. A new theory proposes that topological qubits can be synthesized in experimentally well-established conventional bilayer fractional quantum Hall states.
openalex
Maissam Barkeshli, Xiao-Liang Qi
2014-11-20
置信度 0.72
QubitPhysicsQuantum Hall effectQuantum mechanicsTopology (electrical circuits)
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We prove that quantum information encoded in some topological excitations, including certain Majorana zero modes, is protected in closed systems for a time scale exponentially long in system parameters. This protection holds even at infinite temperature. At lo…
openalex
Else, DV, Fendley, P, Kemp, J, Nayak, C
2017-01-01
置信度 0.72
QubitQuasiparticleExcited stateZero (linguistics)Topology (electrical circuits)
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Topological materials hold much promise for quantum computers that are highly tolerant to errors, but the information can be corrupted by thermally excited quasiparticles. New numerical simulations show that in some materials, quantum information can be protec…
openalex
Dominic V. Else, Paul Fendley, Jack Kemp, Chetan Nayak
2017-12-13
置信度 0.72
PhysicsQubitExcited stateTopology (electrical circuits)Quantum
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openalex
Andrew D. King, Juan Carrasquilla, Jack Raymond, Isil Ozfidan 等
2018-08-14
置信度 0.72
Quantum annealingPhysicsQubitIsing modelThermal fluctuations
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openalex
S. P. Gladchenko, David Olaya, Eva Dupont-Ferrier, Benoît Douçot 等
2008-11-30
置信度 0.72
QubitFlux qubitSuperconducting quantum computingQuantum computerPhysics
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openalex
Jason Alicea, Yuval Oreg, Gil Refael, Felix von Oppen 等
2011-02-13
置信度 0.72
PhysicsAbelian groupQuantum information processingQuantumTheoretical physics
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europepmc
2017
置信度 0.80
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europepmc
2021
置信度 0.80
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europepmc
2019
置信度 0.80
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europepmc
2021
置信度 0.80
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europepmc
2021
置信度 0.80
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crossref
S. IRIYAMA, M. OHYA
2008-10-17T05:14:57Z
置信度 0.70
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Abstract In the previous research on solving the elliptic curve discrete logarithm problem, quantum resources were concretely estimated. In Banegas et al. (IACR Trans Cryptogr Hardw Embed Syst 2021(1):451–472, 2020. https://doi.org/10.46586/tches.v2021.i1.451-…
crossref
Hyeonhak Kim, Seokhie Hong
2023-06-07T05:13:00Z
置信度 0.70
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Quantum algorithms for linear systems produce the solution state A − 1 | b ⟩ by querying two oracles: O A that block encodes the coefficient matrix and O b that prepares the initial state. We present a quantum linear system algorithm maki…
crossref
Guang Hao Low, Yuan Su
2026-03-23T13:22:36Z
置信度 0.70
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In this chapter, a quantum-induced modified-genetic-algorithm-based FCM clustering approach is proposed for true color image segmentation. This approach brings down the early convergence problem of FCM to local minima point, increases efficacy of conventional …
crossref
Sunanda Das, Sourav De, Siddhartha Bhattacharyya
2021-04-28T08:37:48Z
置信度 0.70
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crossref
Daniel F. James
2013-04-30T15:25:23Z
置信度 0.70
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Light is a powerful tool to manipulate matter, but existing approaches often necessitate focused, high-intensity light that limits the manipulated object’s shape, material and size. The breakthrough development could lead to spacecraft without fuel. What if a …
crossref
Robert Skopec, Dubnik Dubnik, Slovakia Slovakia
2021-10-07T07:31:59Z
置信度 0.70
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crossref
Hongye Yu, Yuliang Huang, Biao Wu
2018-10-30T09:18:44Z
置信度 0.70
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crossref
Jiahui MAI, Renbin XIAO
2013-10-11T15:36:24Z
置信度 0.70
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crossref
2025-04-10T14:40:13Z
置信度 0.70
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In the rapidly evolving quantum computing landscape, various approaches leverage quantum mechanical properties for different computational and security objectives. This paper contrasts two distinct quantum technologies: the Quantum Burst Protocol (QBP) and Gro…
crossref
Victoria Mellor
2025-05-23T13:50:12Z
置信度 0.70
-
We consider the maximum cut and maximum independent set problems on random regular graphs in the infinite-size limit, and calculate the energy densities achieved by QAOA for high degrees up to d = 100 . Such an analysis is possible because the reverse causal c…
crossref
Elisabeth Wybo, Martin Leib
2025-10-22T12:43:39Z
置信度 0.70
-
crossref
D. Ellinas
2004-11-18T00:12:37Z
置信度 0.70
-
Quantum walk search on graphs is primarily limited to real evolution operators, although there is no restriction for using the complex unitary matrix as the evolution operator. In the context of quantum search, several studies on the Grover’s search utilize th…
crossref
Pulak Ranjan Giri
2026-07-25T03:08:54Z
置信度 0.70
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crossref
Jeonghoon Park, Jun Heo
2022-07-28T19:08:22Z
置信度 0.70
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We introduce a novel hybrid algorithm to simulate the real-time evolution of quantum systems using parameterized quantum circuits. The method, named "projected – Variational Quantum Dynamics" (p-VQD) realizes an iterative, global projection of the exact time e…
crossref
Stefano Barison, Filippo Vicentini, Giuseppe Carleo
2021-07-28T10:14:16Z
置信度 0.70
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We propose a novel quantum algorithm for solving linear autonomous ordinary differential equations (ODEs) using the Padé approximation. For linear autonomous ODEs, the discretized solution can be represented by a product of matrix exponentials. The proposed al…
crossref
Dekuan Dong, Yingzhou Li, Jungong Xue
2025-06-17T10:37:41Z
置信度 0.70
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crossref
2022-05-12T04:27:37Z
置信度 0.70
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crossref
Hiroshi Ohno
2022-04-05T06:02:49Z
置信度 0.70
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The paper below shows an optimized algorithm to perform Grover’s Algorithm on classical computers for high no. of states in reasonable times.
crossref
Idhant Sood, Ahaan Sirohia, Arjun Dev Juneja
2025-05-30T01:34:42Z
置信度 0.70
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crossref
2024-08-05T03:07:07Z
置信度 0.70
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crossref
2011-08-29T12:11:46Z
置信度 0.70