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Estimating the difference between quantum data is crucial in quantum computing.
Das asymptotische verteilungsgesetz der eigenwerte linearer partieller differentialgleichungen (mit einer anwendung auf die theorie der hohlraumstrahlung)
Hermann Weyl · 1912
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The “transition probability” in the state space of a -algebra
A Uhlmann · 1976
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Fidelity for Mixed Quantum States
Richard Jozsa · 1994
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Parallelization, amplification, and exponential time simulation of quantum interactive proof systems
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Quantum fingerprinting
Harry Buhrman, Richard Cleve, John Watrous, and Ronald de Wolf · 2001
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Quantum Fingerprinting
Harry Buhrman, Richard Cleve, John Watrous, and Ronald de Wolf · 2001
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Quantum Digital Signatures
Daniel Gottesman and Isaac Chuang · 2001
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Direct estimations of linear and nonlinear functionals of a quantum state
Artur K Ekert, Carolina Moura Alves, Daniel K L Oi, Michał Horodecki, Paweł Horodecki, and Leong Chuan Kwek · 2002
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Computable measure of entanglement
G. Vidal and R. F. Werner · 2002
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The role of relative entropy in quantum information theory
Vlatko Vedral · 2002
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Universal quantum circuit for two-qubit transformations with three controlled-not gates
Guifre Vidal and Christopher M Dawson · 2004
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Realization of a general three-qubit quantum gate
Farrokh Vatan and Colin P Williams · 2004
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An introduction to entanglement measures
Martin B Plenio and Shashank S Virmani · 2007
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Quantum computational complexity, 2008
John Watrous · 2008
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Semidefinite Programs for Completely Bounded Norms
John Watrous · 2009
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Min- and Max-Relative Entropies and a New Entanglement Monotone
Nilanjana Datta · 2009
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Quantum computation and quantum information
Michael A Nielsen and Isaac L Chuang · 2010
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Experimental investigation of initial system-environment correlations via trace-distance evolution
Andrea Smirne, Davide Brivio, Simone Cialdi, Bassano Vacchini, and Matteo G. A. Paris · 2011
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Simpler semidefinite programs for completely bounded norms, 2012
John Watrous · 2012
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Matrix analysis
Roger A Horn and Charles R Johnson · 2012
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Sequential decoding of a general classical-quantum channel
Mark M. Wilde · 2013
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Swap test and Hong-Ou-Mandel effect are equivalent
Juan Carlos Garcia-Escartin and Pedro Chamorro-Posada · 2013
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On quantum Rényi entropies: A new generalization and some properties
Martin Müller-Lennert, Frédéric Dupuis, Oleg Szehr, Serge Fehr, and Marco Tomamichel · 2013
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A variational eigenvalue solver on a photonic quantum processor
Alberto Peruzzo, Jarrod McClean, Peter Shadbolt, Man-Hong Yung, Xiao-Qi Zhou, Peter J. Love, Alán Aspuru-Guzik, and Jeremy L. O’Brien · 2014
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Adam: A method for stochastic optimization
Diederik P Kingma and Jimmy Ba · 2014
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What the trace distance security criterion in quantum key distribution does and does not guarantee, 2014
Horace Yuen · 2014
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Strong Converse for the Classical Capacity of Entanglement-Breaking and Hadamard Channels via a Sandwiched Rényi Relative Entropy
Mark M Wilde, Andreas Winter, and Dong Yang · 2014
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The resource theory of stabilizer quantum computation
Victor Veitch, S A Hamed Mousavian, Daniel Gottesman, and Joseph Emerson · 2014
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An introduction to quantum machine learning
Maria Schuld, Ilya Sinayskiy, and Francesco Petruccione · 2015
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Quantum error correction for quantum memories
Barbara M. Terhal · 2015
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Measuring entanglement entropy in a quantum many-body system
Rajibul Islam, Ruichao Ma, Philipp M Preiss, M. Eric Tai, Alexander Lukin, Matthew Rispoli, and Markus Greiner · 2015
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The theory of variational hybrid quantum-classical algorithms
Jarrod R. McClean, Jonathan Romero, Ryan Babbush, and Alán Aspuru-Guzik · 2016
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A quantum Fredkin gate
Raj B Patel, Joseph Ho, Franck Ferreyrol, Timothy C Ralph, and Geoff J Pryde · 2016
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The fidelity of recovery is multiplicative
Mario Berta and Marco Tomamichel · 2016
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Quantum machine learning
Jacob Biamonte, Peter Wittek, Nicola Pancotti, Patrick Rebentrost, Nathan Wiebe, and Seth Lloyd · 2017
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Expressibility and entangling capability of parameterized quantum circuits for hybrid quantum-classical algorithms
Sukin Sim, Peter D Johnson, and Alán Aspuru-Guzik · 2019
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An initialization strategy for addressing barren plateaus in parametrized quantum circuits
Edward Grant, Leonard Wossnig, Mateusz Ostaszewski, and Marcello Benedetti · 2019
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An adaptive variational algorithm for exact molecular simulations on a quantum computer
Harper R Grimsley, Sophia E Economou, Edwin Barnes, and Nicholas J Mayhall · 2019
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A domain-agnostic, noise-resistant, hardware-efficient evolutionary variational quantum eigensolver
Arthur G Rattew, Shaohan Hu, Marco Pistoia, Richard Chen, and Steve Wood · 2019
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Quantum resource theories
Eric Chitambar and Gilad Gour · 2019
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A Survey of Quantum Learning Theory
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Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets
Abhinav Kandala, Antonio Mezzacapo, Kristan Temme, Maika Takita, Markus Brink, Jerry M. Chow, and Jay M. Gambetta · 2017
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Irreversibility of Asymptotic Entanglement Manipulation Under Quantum Operations Completely Preserving Positivity of Partial Transpose
Xin Wang and Runyao Duan · 2017
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Colloquium : Quantum coherence as a resource
Alexander Streltsov, Gerardo Adesso, and Martin B. Plenio · 2017
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Quantum Computing in the NISQ era and beyond
John Preskill · 2018
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Hierarchical quantum classifiers
Edward Grant, Marcello Benedetti, Shuxiang Cao, Andrew Hallam, Joshua Lockhart, Vid Stojevic, Andrew G. Green, and Simone Severini · 2018
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Kun Wang, Xin Wang, and Mark M. Wilde · 2019
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Universal and Operational Benchmarking of Quantum Memories
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Trainability of Dissipative Perceptron-Based Quantum Neural Networks
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Circuit-centric quantum classifiers
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Sequential minimal optimization for quantum-classical hybrid algorithms
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Effect of barren plateaus on gradient-free optimization
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Cost of Quantum Entanglement Simplified
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