Fetching the paper…
Reading the bibliography…
We study the power of local test for bipartite quantum states.
Can quantum-mechanical description of physical reality be considered complete?
A. Einstein, B. Podolsky, and N. Rosen · 1935
Earlier work this paper cites.
The approximation of one matrix by another of lower rank
Carl Eckart and Gale Young · 1936
Earlier work this paper cites.
Everything you always wanted to know about LOCC (but were afraid to ask)
Eric Chitambar, Debbie Leung, Laura Mančinska, Maris Ozols, and Andreas Winter · 1953
Earlier work this paper cites.
Probability inequalities for sums of bounded random variables
Wassily Hoeffding · 1963
Earlier work this paper cites.
Detection theory and quantum mechanics
Carl W. Helstrom · 1967
Earlier work this paper cites.
Statistical decision theory for quantum systems
Alexander S. Holevo · 1973
Earlier work this paper cites.
Linear Representations of Finite Groups
Jean-Pierre Serre · 1977
Earlier work this paper cites.
( 𝐺𝐿 n , 𝐺𝐿 m ) (\mathit{GL}_{n},\mathit{GL}_{m}) -duality and symmetric plethysm
Roger Howe · 1987
Earlier work this paper cites.
Possible generalization of Boltzmann-Gibbs statistics
Constantino Tsallis · 1988
Earlier work this paper cites.
Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states
Charles H. Bennett and Stephen J. Wiesner · 1992
Earlier work this paper cites.
Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
Charles H. Bennett, Gilles Brassard, Claude Crépeau, Richard Jozsa, Asher Peres, and William K. Wootters · 1993
Earlier work this paper cites.
A fast quantum mechanical algorithm for database search
Lov K. Grover · 1996
Earlier work this paper cites.
Cryptographic distinguishability measures for quantum-mechanical states
Christopher A. Fuchs and Jeroen van de Graaf · 1999
Earlier work this paper cites.
Quantum amplitude amplification and estimation
Gilles Brassard, Peter Høyer, Michele Mosca, and Alain Tapp · 2002
Earlier work this paper cites.
Concurrence of mixed multipartite quantum states
Florian Mintert, Marek Kuś, and Andreas Buchleitner · 2005
Earlier work this paper cites.
A study of LOCC-detection of a maximally entangled state using hypothesis testing
Masahito Hayashi, Keiji Matsumoto, and Yoshiyuki Tsuda · 2006
Earlier work this paper cites.
Topological entanglement entropy
Alexei Kitaev and John Preskill · 2006
Earlier work this paper cites.
Detecting topological order in a ground state wave function
Michael Levin and Xiao-Gang Wen · 2006
Earlier work this paper cites.
Weak Fourier-Schur sampling, the hidden subgroup problem, and the quantum collision problem
Andrew M. Childs, Aram W. Harrow, and Paweł Wocjan · 2007
Earlier work this paper cites.
An area law for one-dimensional quantum systems
M. B. Hastings · 2007
Earlier work this paper cites.
Universal distortion-free entanglement concentration
Keiji Matsumoto and Masahito Hayashi · 2007
Earlier work this paper cites.
Matrix product state representations
David Perez-Garcia, Frank Verstraete, Michael M. Wolf, and J. Ignacio Cirac · 2007
Earlier work this paper cites.
Entanglement spectrum in one-dimensional systems
Pasquale Calabrese and Alexandre Lefevre · 2008
Earlier work this paper cites.
An Introduction to Lie Groups and Lie Algebras
Alexander A. Kirillov · 2008
Earlier work this paper cites.
Entanglement spectrum as a generalization of entanglement entropy: identification of topological order in non-Abelian fractional quantum Hall effect states
Hui Li and F. D. M. Haldane · 2008
Cited alongside, same era.
Quantum entanglement
Ryszard Horodecki, Paweł Horodecki, Michał Horodecki, and Karol Horodecki · 2009
Cited alongside, same era.
Colloquium: Area laws for the entanglement entropy
J. Eisert, M. Cramer, and M. B. Plenio · 2010
Cited alongside, same era.
Testing product states, quantum Merlin-Arthur games and tensor optimization
Aram W. Harrow and Ashley Montanaro · 2010
Cited alongside, same era.
Keiji Matsumoto · 2010
Cited alongside, same era.
Entanglement spectrum of a topological phase in one dimension
Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics
András Gilyén, Yuan Su, Guang Hao Low, and Nathan Wiebe · 2019
Later among the works it cites.
Optimal verification of two-qubit pure states
Kun Wang and Masahito Hayashi · 2019
Later among the works it cites.
Efficient verification of pure quantum states in the adversarial scenario
Huangjun Zhu and Masahito Hayashi · 2019
Later among the works it cites.
Exponential separations between learning with and without quantum memory
Sitan Chen, Jordan Cotler, Hsin-Yuan Huang, and Jerry Li · 2021
Later among the works it cites.
An area law for 2d frustration-free spin systems
Anurag Anshu, Itai Arad, and David Gosset · 2022
Later among the works it cites.
Quantum algorithmic measurement
Dorit Aharonov, Jordan Cotler, and Xiao-Liang Qi · 2022
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Frank Pollmann, Ari M. Turner, Erez Berg, and Masaki Oshikawa · 2010
Cited alongside, same era.
Entanglement entropy and entanglement spectrum of the Kitaev model
Hong Yao and Xiao-Liang Qi · 2010
Cited alongside, same era.
Efficient algorithm for a quantum analogue of 2-SAT
Sergey Bravyi · 2011
Cited alongside, same era.
Introduction to Representation Theory
Pavel Etingof, Oleg Golberg, Sebastian Hensel, Tiankai Liu, Alex Schwendner, Dmitry Vaintrob, and Elena Yudovina · 2011
Cited alongside, same era.
Improved one-dimensional area law for frustration-free systems
Itai Arad, Zeph Landau, and Umesh Vazirani · 2012
Cited alongside, same era.
Hamiltonian simulation using linear combinations of unitary operations
Andrew M. Childs and Nathan Wiebe · 2012
Cited alongside, same era.
Representation Theory: A First Course
William Fulton and Joe Harris · 2013
Cited alongside, same era.
Later among the works it cites.
Distributed quantum inner product estimation
Anurag Anshu, Zeph Landau, and Yunchao Liu · 2022
Later among the works it cites.
Testing matrix product states
Mehdi Soleimanifar and John Wright · 2022
Later among the works it cites.
Unitarity estimation for quantum channels
Kean Chen, Qisheng Wang, Peixun Long, and Mingsheng Ying · 2023
Later among the works it cites.
Quantum channel certification with incoherent measurements
Omar Fawzi, Nicolas Flammarion, Aurélien Garivier, and Aadil Oufkir · 2023
Later among the works it cites.
Unitary property testing lower bounds by polynomials
Adrian She and Henry Yuen · 2023
Later among the works it cites.
Quantum lower bounds by sample-to-query lifting
Qisheng Wang and Zhicheng Zhang · 2023
Later among the works it cites.
Quantum pseudoentanglement
Scott Aaronson, Adam Bouland, Bill Fefferman, Soumik Ghosh, Umesh Vazirani, Chenyi Zhang, and Zixin Zhou · 2024
Closest in time.
Andreas Bluhm, Matthias C. Caro, and Aadil Oufkir · 2024
Closest in time.
Complexity theory for quantum promise problems
Nai-Hui Chia, Kai-Min Chung, Tzu-Hsiang Huang, and Jhih-Wei Shih · 2024
Closest in time.
Dimension independent disentanglers from unentanglement and applications
Fernando G. Jeronimo and Pei Wu · 2024
Closest in time.
Exponential separations between quantum learning with and without purification
Zhenhuan Liu, Weiyuan Gong, Zhenyu Du, and Zhenyu Cai · 2024
Closest in time.
Nearly tight bounds for testing tree tensor network states
Benjamin Lovitz and Angus Lowe · 2024
Closest in time.
Separation between entanglement criteria and entanglement detection protocols
Zhenhuan Liu and Fuchuan Wei · 2024
Closest in time.
Unconditionally secure commitments with quantum auxiliary inputs
Tomoyuki Morimae, Barak Nehoran, and Takashi Yamakawa · 2024
Closest in time.
Lower bounds for unitary property testing with proofs and advice
Jordi Weggemans · 2024
Closest in time.
Time-efficient quantum entropy estimator via samplizer
Qisheng Wang and Zhicheng Zhang · 2024
Closest in time.
Concentrating partial entanglement by local operations
Charles H. Bennett, Herbert J. Bernstein, Sandu Popescu, and Benjamin Schumacher · 2046
Closest in time.