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Hamiltonian simulation algorithms for near-term quantum hardware

Nature communications, 2021-08, Vol.12 (1), p.4989-4989, Article 4989

2021

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Universal quantum Hamiltonians

Proceedings of the National Academy of Sciences - PNAS, 2018-09, Vol.115 (38), p.9497-9502

2018

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Toy models of holographic duality between local Hamiltonians

The journal of high energy physics, 2019-08, Vol.2019 (8), p.1-64, Article 17

2019

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Undecidability of the spectral gap

Nature (London), 2015-12, Vol.528 (7581), p.207-211

2015

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Simple universal models capture all classical spin physics

Science (American Association for the Advancement of Science), 2016-03, Vol.351 (6278), p.1180-1183

2016

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Uncomputably complex renormalisation group flows

Nature communications, 2022-12, Vol.13 (1), p.7618-7618, Article 7618

2022

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Uncomputability of phase diagrams

Nature communications, 2021-01, Vol.12 (1), p.452-452, Article 452

2021

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Holographic duality between local Hamiltonians from random tensor networks

The journal of high energy physics, 2022-03, Vol.2022 (3), p.52-43, Article 52

2022

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Phase estimation of local Hamiltonians on NISQ hardware

New journal of physics, 2023-03, Vol.25 (3), p.33027

2023

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Translationally Invariant Universal Quantum Hamiltonians in 1D

Annales Henri Poincaré, 2022, Vol.23 (1), p.223-254

2022

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Improving zero-error classical communication with entanglement

Physical review letters, 2010-06, Vol.104 (23), p.230503-230503, Article 230503

2010

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Size-driven quantum phase transitions

Proceedings of the National Academy of Sciences - PNAS, 2018-01, Vol.115 (1), p.19-23

2018

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Towards near-term quantum simulation of materials

Nature communications, 2024-01, Vol.15 (1), p.211-211, Article 211

2024

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The structure of degradable quantum channels

Journal of mathematical physics, 2008-10, Vol.49 (10), p.102104-102104-27

2008

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Extracting dynamical equations from experimental data is NP hard

Physical review letters, 2012-03, Vol.108 (12), p.120503-120503, Article 120503

2012

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Undecidability of the Spectral Gap in One Dimension

Physical review. X, 2020-08, Vol.10 (3), p.031038, Article 031038

2020

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Superactivation of the Asymptotic Zero-Error Classical Capacity of a Quantum Channel

IEEE transactions on information theory, 2011-12, Vol.57 (12), p.8114-8126

2011

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Zero-Error Channel Capacity and Simulation Assisted by Non-Local Correlations

IEEE transactions on information theory, 2011-08, Vol.57 (8), p.5509-5523

2011

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Undecidability of the Spectral Gap

Forum of mathematics. Pi, 2022-01, Vol.10, Article e14

2022

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General Conditions for Universality of Quantum Hamiltonians

PRX quantum, 2022-01, Vol.3 (1), p.010308, Article 010308

2022

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An Extreme Form of Superactivation for Quantum Zero-Error Capacities

IEEE transactions on information theory, 2012-03, Vol.58 (3), p.1953-1961

2012

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Complexity Classification of Local Hamiltonian Problems

SIAM journal on computing, 2016-01, Vol.45 (2), p.268-316

2016

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A Mathematical Framework for Quantum Hamiltonian Simulation and Duality

Annales Henri Poincaré, 2024-04

2024

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Entanglement can completely defeat quantum noise

Physical review letters, 2011-12, Vol.107 (25), p.250504-250504, Article 250504

2011

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Translationally Invariant Universal Classical Hamiltonians

Journal of statistical physics, 2019-07, Vol.176 (1), p.228-261

2019

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Hamiltonian simulation algorithms for near-term quantum hardware

Universal quantum Hamiltonians

Toy models of holographic duality between local Hamiltonians

Undecidability of the spectral gap

Simple universal models capture all classical spin physics

Uncomputably complex renormalisation group flows

Uncomputability of phase diagrams

Holographic duality between local Hamiltonians from random tensor networks

Phase estimation of local Hamiltonians on NISQ hardware

Translationally Invariant Universal Quantum Hamiltonians in 1D

Improving zero-error classical communication with entanglement

Size-driven quantum phase transitions

Towards near-term quantum simulation of materials

The structure of degradable quantum channels

Extracting dynamical equations from experimental data is NP hard

Undecidability of the Spectral Gap in One Dimension

Superactivation of the Asymptotic Zero-Error Classical Capacity of a Quantum Channel

Zero-Error Channel Capacity and Simulation Assisted by Non-Local Correlations

Undecidability of the Spectral Gap

General Conditions for Universality of Quantum Hamiltonians

An Extreme Form of Superactivation for Quantum Zero-Error Capacities

Complexity Classification of Local Hamiltonian Problems

A Mathematical Framework for Quantum Hamiltonian Simulation and Duality

Entanglement can completely defeat quantum noise

Translationally Invariant Universal Classical Hamiltonians

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