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Computing quantum state fidelity will be important to verify and characterize states prepared on a quantum computer.
An adaptive optimizer for measurement-frugal variational algorithms
Jonas M Kübler, Andrew Arrasmith, Lukasz Cincio, and Patrick J Coles · 1909
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Variational fast forwarding for quantum simulation beyond the coherence time
Cristina Cirstoiu, Zoe Holmes, Joseph Iosue, Lukasz Cincio, Patrick J Coles, and Andrew Sornborger · 1910
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Das asymptotische verteilungsgesetz der eigenwerte linearer partieller differentialgleichungen (mit einer anwendung auf die theorie der hohlraumstrahlung)
H. Weyl · 1912
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On quasiequivalence of locally normal states
A. S. Kholevo · 1972
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The "transition probability" in the state space of a ⋆ \star -algebra
Armin Uhlmann · 1976
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Matrix Analysis
R. A. Horn and C. R. Johnson · 1990
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Fidelity for mixed quantum states
Richard Jozsa · 1994
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Power of one bit of quantum information
E. Knill and R. Laflamme · 1998
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Quantum statistical zero-knowledge
John Watrous · 2002
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Alternative fidelity measure between two states of an n-state quantum system
Jing-Ling Chen, Libin Fu, Abraham A Ungar, and Xian-Geng Zhao · 2002
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Measuring polynomial functions of states
Todd A Brun · 2004
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Distance measures to compare real and ideal quantum processes
Alexei Gilchrist, Nathan K. Langford, and Michael A. Nielsen · 2005
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Pattern recognition and machine learning
Christopher M Bishop · 2006
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Sine distance for quantum states
Alexey E Rastegin · 2006
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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
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Alternative fidelity measure between quantum states
Paulo EMF Mendonça, Reginaldo d J Napolitano, Marcelo A Marchiolli, Christopher J Foster, and Yeong-Cherng Liang · 2008
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Quantum algorithm for linear systems of equations
Aram W Harrow, Avinatan Hassidim, and Seth Lloyd · 2009
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Sub- and super-fidelity as bounds for quantum fidelity
Jaroslaw Adam Miszczak, Zbigniew Puchala, Pawel Horodecki, Armin Uhlmann, and Karol Zyczkowski · 2009
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Bound on trace distance based on superfidelity
Zbigniew Puchała and Jarosław Adam Miszczak · 2009
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The bobyqa algorithm for bound constrained optimization without derivatives
M J. D. Powell · 2009
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Quantum fidelity and thermal phase transitions
H. T. Quan and F. M. Cucchietti · 2009
Cited alongside, same era.
Quantum circuits for strongly correlated quantum systems
Frank Verstraete, J Ignacio Cirac, and José I Latorre · 2009
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Using quantum computers for quantum simulation
Katherine L Brown, William J Munro, and Vivien M Kendon · 2010
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Quantum Computation and Quantum Information
M. A. Nielsen and I. L. Chuang · 2010
Cited alongside, same era.
Duality between smooth min-and max-entropies
Marco Tomamichel, Roger Colbeck, and Renato Renner · 2010
Cited alongside, same era.
The theory of variational hybrid quantum-classical algorithms
J. R. McClean, J. Romero, R. Babbush, and A. Aspuru-Guzik · 2016
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Quantum Information Theory
M. M. Wilde · 2017
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Efficient variational quantum simulator incorporating active error minimization
Ying Li and Simon C Benjamin · 2017
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Hardness of classically sampling one clean qubit model with constant total variation distance error
Tomoyuki Morimae · 2017
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Uhlmann fidelities from tensor networks
Markus Hauru and Guifre Vidal · 2018
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Learning the quantum algorithm for state overlap
L. Cincio, Y. Subaşı, A. T. Sornborger, and P. J. Coles · 2018
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Experimentally feasible measures of distance between quantum operations
Zbigniew Puchała, Jarosław Adam Miszczak, Piotr Gawron, and Bartłomiej Gardas · 2011
Cited alongside, same era.
An inequality for the trace of matrix products, using absolute values
Bernhard Baumgartner · 2011
Cited alongside, same era.
Efficient method for computing the maximum-likelihood quantum state from measurements with additive gaussian noise
John A. Smolin, Jay M. Gambetta, and Graeme Smith · 2012
Cited alongside, same era.
Direct method for measuring of purity, superfidelity, and subfidelity of photonic two-qubit mixed states
Karol Bartkiewicz, Karel Lemr, and Adam Miranowicz · 2013
Cited alongside, same era.
Swap test and Hong-Ou-Mandel effect are equivalent
J. C. Garcia-Escartin and P. Chamorro-Posada · 2013
Cited alongside, same era.
On quantum rényi entropies: A new generalization and some properties
Martin Müller-Lennert, Frédéric Dupuis, Oleg Szehr, Serge Fehr, and Marco Tomamichel · 2013
Cited alongside, same era.
Exact Ising model simulation on a quantum computer
Alba Cervera-Lierta · 2018
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Quantum-inspired low-rank stochastic regression with logarithmic dependence on the dimension
András Gilyén, Seth Lloyd, and Ewin Tang · 2018
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Impossibility of Classically Simulating One-Clean-Qubit Model with Multiplicative Error
K. Fujii, H. Kobayashi, T. Morimae, H. Nishimura, S. Tamate, and S. Tani · 2018
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Bound entangled states fit for robust experimental verification
Gael Sentís, Johannes N Greiner, Jiangwei Shang, Jens Siewert, and Matthias Kleinmann · 2018
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Quantum fidelity measures for mixed states
Yeong-Cherng Liang, Yu-Hao Yeh, Paulo E M F Mendonça, Run Yan Teh, Margaret D Reid, and Peter D Drummond · 2019
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Quantum-assisted quantum compiling
S. Khatri, R. LaRose, A. Poremba, L. Cincio, A. T. Sornborger, and P. J. Coles · 2019
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Variational quantum state diagonalization
Ryan LaRose, Arkin Tikku, Étude O’Neel-Judy, Lukasz Cincio, and Patrick J Coles · 2019
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Variational consistent histories as a hybrid algorithm for quantum foundations
A. Arrasmith, L. Cincio, A. T. Sornborger, W. H. Zurek, and P. J. Coles · 2019
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A quantum-inspired classical algorithm for recommendation systems
Ewin Tang · 2019
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Strong bound between trace distance and hilbert-schmidt distance for low-rank states
Patrick J. Coles, M. Cerezo, and Lukasz Cincio · 2019
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Noise resilience of variational quantum compiling
Kunal Sharma, Sumeet Khatri, M Cerezo, and Patrick J Coles · 2020
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Quantum autoencoders for efficient compression of quantum data
J. Romero, J. P. Olson, and A. Aspuru-Guzik · 2058
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