Matchgate Shadows for Fermionic Quantum Simulation

Matchgate benchmarking: Scalable benchmarking of a continuous family of many-qubit gates

(2022) Jonas Helsen et al.   Quantum

Unbiasing fermionic quantum Monte Carlo with a quantum computer

(2022) William J. Huggins et al.   NATURE

Estimating expectation values using approximate quantum states

(2021) Marco Paini et al.   Quantum

Hadamard-Free Circuits Expose the Structure of the Clifford Group

(2021) Sergey Bravyi et al.   IEEE TRANSACTIONS ON INFORMATION THEORY

Fermionic Partial Tomography via Classical Shadows

(2021) Andrew Zhao et al.   PHYSICAL REVIEW LETTERS

Predicting many properties of a quantum system from very few measurements

(2020) Hsin-Yuan Huang et al.   Nature Physics

Quantum Algorithms to Simulate Many-Body Physics of Correlated Fermions

(2018) Zhang Jiang et al.   Physical Review Applied

Algebraic/combinatorial proofs of Cayley-type identities for derivatives of determinants and pfaffians

(2013) Sergio Caracciolo et al.   ADVANCES IN APPLIED MATHEMATICS

Algorithm 923

(2012) M. Wimmer   ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE

Matchgates and classical simulation of quantum circuits

(2008) R. Jozsa et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES