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The impressive progress in quantum hardware in the last years has raised the interest of the quantum computing community in harvesting the computational power of such devices.
Quantum brascamp-lieb dualities, 2019
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The quantum approximate optimization algorithm and the sherrington-kirkpatrick model at infinite size, 2019
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Hypercontractivity in noncommutative LpSpaces
R. Olkiewicz and B. Zegarlinski · 1999
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The Quantum Approximate Optimization Algorithm Needs to See the Whole Graph: A Typical Case
E. Farhi, D. Gamarnik, and S. Gutmann · 2004
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Lieb-Robinson bounds and the exponential clustering theorem
B. Nachtergaele and R. Sims · 2006
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Bounds for the adiabatic approximation with applications to quantum computation
S. Jansen, M.-B. Ruskai, and R. Seiler · 2007
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A proof of Alon’s second eigenvalue conjecture and related problems
J. Friedman · 2008
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On the role of convexity in isoperimetry, spectral-gap and concentration
E. Milman · 2008
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The χ \upchi 2-divergence and mixing times of quantum markov processes
K. Temme, M. J. Kastoryano, M. B. Ruskai, M. M. Wolf, and F. Verstraete · 2010
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Semidefinite relaxations for quadratically constrained quadratic programming: A review and comparisons
X. Bao, N. V. Sahinidis, and M. Tawarmalani · 2011
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Quasilocality and efficient simulation of markovian quantum dynamics
T. Barthel and M. Kliesch · 2012
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Equivalence of the poincaré inequality with a transport-chi-square inequality in dimension one
B. Jourdain · 2012
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Quantum logarithmic sobolev inequalities and rapid mixing
M. J. Kastoryano and K. Temme · 2013
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Interlacing families I: Bipartite Ramanujan graphs of all degrees
A. Marcus, D. A. Spielman, and N. Srivastava · 2013
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On quantum Rényi entropies: A new generalization and some properties
M. Müller-Lennert, F. Dupuis, O. Szehr, S. Fehr, and M. Tomamichel · 2013
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An analog of the 2-wasserstein metric in non-commutative probability under which the Fermionic Fokker–Planck equation is gradient flow for the entropy
E. A. Carlen and J. Maas · 2014
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A quantum approximate optimization algorithm
E. Farhi, J. Goldstone, and S. Gutmann · 2014
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Lieb-Robinson bounds and the simulation of time-evolution of local observables in lattice systems
M. Kliesch, C. Gogolin, and J. Eisert · 2014
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A variational eigenvalue solver on a photonic quantum processor
A. Peruzzo, J. McClean, P. Shadbolt, M.-H. Yung, X.-Q. Zhou, P. J. Love, A. Aspuru-Guzik, and J. L. O’Brien · 2014
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Hypercontractivity of quasi-free quantum semigroups
K. Temme, F. Pastawski, and M. J. Kastoryano · 2014
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Strong converse for the classical capacity of entanglement-breaking and hadamard channels via a sandwiched Rényi relative entropy
M. M. Wilde, A. Winter, and D. Yang · 2014
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Equivalence of statistical mechanical ensembles for non-critical quantum systems, 2015
F. G. S. L. Brandao and M. Cramer · 2015
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Logarithmic sobolev inequalities in non-commutative algebras
R. Carbone and A. Martinelli · 2015
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Extremal cuts of sparse random graphs
A. Dembo, A. Montanari, and S. Sen · 2015
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Concentration bounds for quantum states with finite correlation length on quantum spin lattice systems
A. Anshu · 2016
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Roads towards fault-tolerant universal quantum computation
E. T. Campbell, B. M. Terhal, and C. Vuillot · 2017
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Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance
E. A. Carlen and J. Maas · 2017
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Relative Entropy Bounds on Quantum, Private and Repeater Capacities
M. Christandl and A. Müller-Hermes · 2017
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The modified logarithmic sobolev inequality for quantum spin systems: classical and commuting nearest neighbour interactions
Ángela Capel, C. Rouzé, and D. S. França · 2020
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The quantum approximate optimization algorithm at high depth for maxcut on large-girth regular graphs and the sherrington-kirkpatrick model
J. Basso, E. Farhi, K. Marwaha, B. Villalonga, and L. Zhou · 2021
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The quantum approximate optimization algorithm at high depth for Maxcut on large-girth regular graphs and the Sherrington-Kirkpatrick model, 2021
J. Basso, E. Farhi, K. Marwaha, B. Villalonga, and L. Zhou · 2021
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Training variational quantum algorithms is np-hard
L. Bittel and M. Kliesch · 2021
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Variational quantum algorithms
M. Cerezo, A. Arrasmith, R. Babbush, S. C. Benjamin, S. Endo, K. Fujii, J. R. McClean, K. Mitarai, X. Yuan, L. Cincio, and P. J. Coles · 2021
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Local hamiltonians whose ground states are hard to approximate
L. Eldar and A. W. Harrow · 2017
Cited alongside, same era.
Error mitigation for short-depth quantum circuits
K. Temme, S. Bravyi, and J. M. Gambetta · 2017
Cited alongside, same era.
Practical quantum error mitigation for near-future applications
S. Endo, S. C. Benjamin, and Y. Li · 2018
Cited alongside, same era.
Remarks on some transportation cost inequalities
M. Ledoux · 2018
Cited alongside, same era.
Interlacing families IV: Bipartite Ramanujan graphs of all sizes
A. W. Marcus, D. A. Spielman, and N. Srivastava · 2018
Cited alongside, same era.
Barren plateaus in quantum neural network training landscapes
J. R. McClean, S. Boixo, V. N. Smelyanskiy, R. Babbush, and H. Neven · 2018
Cited alongside, same era.
Limitations of local quantum algorithms on random max-k-xor and beyond
C.-N. Chou, P. J. Love, J. S. Sandhu, and J. Shi · 2021
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Quantum concentration inequalities
G. De Palma and C. Rouzé · 2021
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Quantum phases of matter on a 256-atom programmable quantum simulator
S. Ebadi, T. T. Wang, H. Levine, A. Keesling, G. Semeghini, A. Omran, D. Bluvstein, R. Samajdar, H. Pichler, W. W. Ho, S. Choi, S. Sachdev, M. Greiner, V. Vuletić, and M. D. Lukin · 2021
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Hybrid quantum-classical algorithms and quantum error mitigation
S. Endo, Z. Cai, S. C. Benjamin, and X. Yuan · 2021
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Limitations of optimization algorithms on noisy quantum devices
D. S. França and R. Garcia-Patrón · 2021
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Ricci curvature of quantum channels on non-commutative transportation metric spaces
L. Gao and C. Rouzé · 2021
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Complete entropic inequalities for quantum markov chains, 2021
L. Gao and C. Rouzé · 2021
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Virtual distillation for quantum error mitigation
W. J. Huggins, S. McArdle, T. E. O’Brien, J. Lee, N. C. Rubin, S. Boixo, K. B. Whaley, R. Babbush, and J. R. McClean · 2021
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Exponential error suppression for near-term quantum devices
B. Koczor · 2021
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Limits of Short-Time Quantum Annealing
A. H. Moosavian, S. S. Kahani, and S. Beigi · 2021
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The Quantum Wasserstein Distance of Order 1
G. D. Palma, M. Marvian, D. Trevisan, and S. Lloyd · 2021
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Quantum optimal transport with quantum channels
G. D. Palma and D. Trevisan · 2021
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Learning quantum many-body systems from a few copies
C. Rouzé and D. S. França · 2021
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Quantum simulation of 2d antiferromagnets with hundreds of rydberg atoms
P. Scholl, M. Schuler, H. J. Williams, A. A. Eberharter, D. Barredo, K. N. Schymik, V. Lienhard, L. P. Henry, T. C. Lang, T. Lahaye, A. M. Lauchli, and A. Browaeys · 2021
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Fundamental limits of quantum error mitigation
R. Takagi, S. Endo, S. Minagawa, and M. Gu · 2021
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An explicit vector algorithm for high-girth maxcut
J. K. Thompson, O. Parekh, and K. Marwaha · 2021
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Can error mitigation improve trainability of noisy variational quantum algorithms?
S. Wang, P. Czarnik, A. Arrasmith, M. Cerezo, L. Cincio, and P. J. Coles · 2021
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Noise-induced barren plateaus in variational quantum algorithms
S. Wang, E. Fontana, M. Cerezo, K. Sharma, A. Sone, L. Cincio, and P. J. Coles · 2021
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Critical points in quantum generative models
E. R. Anschuetz · 2022
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Concentration bounds for quantum states and limitations on the qaoa from polynomial approximations
A. Anshu and T. Metger · 2022
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Noisy intermediate-scale quantum algorithms
K. Bharti, A. Cervera-Lierta, T. H. Kyaw, T. Haug, S. Alperin-Lea, A. Anand, M. Degroote, H. Heimonen, J. S. Kottmann, T. Menke, W.-K. Mok, S. Sim, L.-C. Kwek, and A. Aspuru-Guzik · 2022
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Error propagation in nisq devices for solving classical optimization problems
G. González-Garc\́text{id}a, R. Trivedi, and J. I. Cirac · 2022
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