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We introduce a notion of commutativity between operators on a tensor product space, nominally Pauli strings on qubits, that interpolates between qubit-wise commutativity and (full) commutativity.
Scheme for reducing decoherence in quantum computer memory
Peter W. Shor · 1995
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Decoherence, control, and symmetry in quantum computers
D. Bacon · 2003
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Quantum simulations of physics problems
Rolando Somma, Gerardo Ortiz, Emanuel Knill, and James Gubernatis · 2003
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Improved simulation of stabilizer circuits
Scott Aaronson and Daniel Gottesman · 2004
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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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Pyzx: Large scale automated diagrammatic reasoning
Aleks Kissinger and John van de Wetering · 2019
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Digital quantum simulation of molecular vibrations
Sam McArdle, Alexander Mayorov, Xiao Shan, Simon Benjamin, and Xiao Yuan · 2019
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Measurement optimization in the variational quantum eigensolver using a minimum clique cover
Vladyslav Verteletskyi, Tzu-Ching Yen, and Artur F. Izmaylov · 2020
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𝒪 ( n 3 ) \mathcal{O}(n^{3}) measurement cost for variational quantum eigensolver on molecular hamiltonians
Pranav Gokhale, Olivia Angiuli, Yongshan Ding, Kaiwen Gui, Teague Tomesh, Martin Suchara, Margaret Martonosi, and Frederic T. Chong · 2020
Cited alongside, same era.
On connectivity-dependent resource requirements for digital quantum simulation of d-level particles
Nicolas PD Sawaya, Gian Giacomo Guerreschi, and Adam Holmes · 2020
Cited alongside, same era.
Hardware efficient quantum algorithms for vibrational structure calculations
Pauline J Ollitrault, Alberto Baiardi, Markus Reiher, and Ivano Tavernelli · 2020
Cited alongside, same era.
Decoding quantum errors with subspace expansions
Jarrod R. McClean, Zhang Jiang, Nicholas C. Rubin, Ryan Babbush, and Hartmut Neven · 2020
Cited alongside, same era.
Efficient quantum measurement of pauli operators in the presence of finite sampling error
Ophelia Crawford, Barnaby van Straaten, Daochen Wang, Thomas Parks, Earl Campbell, and Stephen Brierley · 2021
Cited alongside, same era.
Efficient and noise resilient measurements for quantum chemistry on near-term quantum computers
William J. Huggins, Jarrod R. McClean, Nicholas C. Rubin, Zhang Jiang, Nathan Wiebe, K. Birgitta Whaley, and Ryan Babbush · 2021
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Nicolas PD Sawaya · 2022
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Hamlib: A library of hamiltonians for benchmarking quantum algorithms and hardware, June 2023
Nicolas PD Sawaya, Daniel Marti-Dafcik, Yang Ho, Daniel P. Tabor, David Bernal, Alicia B. Magann, Shavindra Premaratne, Pradeep Dubey, Anne Matsuura, Nathan Bishop, Wibe A. de Jong, Simon Benjamin, Ojas D. Parekh, Norm Tubman, Katherine Klymko, and Daan Camps · 2023
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The qudit pauli group: non-commuting pairs, non-commuting sets, and structure theorems
Rahul Sarkar and Theodore J Yoder · 2023
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Adaptive estimation of quantum observables
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Graph optimization perspective for low-depth trotter-suzuki decomposition
Albert T Schmitz, Nicolas PD Sawaya, Sonika Johri, and AY Matsuura · 2021
Cited alongside, same era.
Clifford circuit optimization with templates and symbolic pauli gates
Sergey Bravyi, Ruslan Shaydulin, Shaohan Hu, and Dmitri Maslov · 2021
Cited alongside, same era.
On sets of maximally commuting and anticommuting pauli operators
Rahul Sarkar and Ewout van den Berg · 2021
Cited alongside, same era.
Ariel Shlosberg, Andrew J. Jena, Priyanka Mukhopadhyay, Jan F. Haase, Felix Leditzky, and Luca Dellantonio · 2023
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Sina Bahrami and Nicolas Sawaya · 2024
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Chemistry beyond the scale of exact diagonalization on a quantum-centric supercomputer
Javier Robledo-Moreno, Mario Motta, Holger Haas, Ali Javadi-Abhari, Petar Jurcevic, William Kirby, Simon Martiel, Kunal Sharma, Sandeep Sharma, Tomonori Shirakawa, Iskandar Sitdikov, Rong-Yang Sun, Kevin J. Sung, Maika Takita, Minh C. Tran, Seiji Yunoki, and Antonio Mezzacapo · 2025
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https://qiskit.github.io/qiskit-addon-sqd/tutorials/01_chemistry_hamiltonian.html, 2025
Improving energy estimation of a chemistry hamiltonian with sqd · 2025
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