Matchgate shadows for fermionic quantum simulation

DOI10.1007/s00220-023-04844-0arXiv2207.13723MaRDI QIDQ6089310

Joon Ho Lee, William J. Huggins, Kianna Wan, Ryan Babbush

Publication date: 17 November 2023

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.13723

Mathematics Subject Classification ID

Numerical linear algebra (65Fxx) Basic linear algebra (15Axx) Foundations, quantum information and its processing, quantum axioms, and philosophy (81Pxx)

Cites Work

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• How to generate random matrices from the classical compact groups
• Algebraic/combinatorial proofs of Cayley-type identities for derivatives of determinants and Pfaffians
• Conformal field theory
• Clifford algebra to geometric calculus. A unified language for mathematics and physics
• Bounds for Kac's master equation
• Complexity of quantum impurity problems
• Algorithm 923
• A Remark on Stirling's Formula
• Matchgates and classical simulation of quantum circuits
• The Efficient Generation of Random Orthogonal Matrices with an Application to Condition Estimators
• Hadamard-Free Circuits Expose the Structure of the Clifford Group

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