Lowering Tomography Costs in Quantum Simulation with a Symmetry Projected Operator Basis

Abstract

Measurement in quantum simulations provides a means for extracting meaningful information from a complex quantum state, and for quantum computing reducing the complexity of measurement will be vital for near-term applications. For most quantum simulations, the targeted state will obey a number of symmetries inherent to the system Hamiltonian. We obtain a alternative symmetry projected basis of measurement that reduces the number of measurements needed. Our scheme can be implemented at no additional cost on a quantum computer, can be implemented under a variety of measurement or tomography schemes, and is fairly resilient under noise.

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Cited by in corpus (9)

• Fermionic partial tomography via classical shadows
• Quantum Solver of Contracted Eigenvalue Equations for Scalable Molecular Simulations on Quantum Computing Devices
• Applications of Quantum Computing for Investigations of Electronic Transitions in Phenylsulfonyl-carbazole TADF Emitters
• Resolving Correlated States of Benzyne on a Quantum Computer with an Error-Mitigated Quantum Contracted Eigenvalue Solver
• Quantum-Classical Hybrid Algorithm for the Simulation of All-Electron Correlation
• Many-Body Excited States with a Contracted Quantum Eigensolver
• Local quantum overlapping tomography
• Hybrid Quantum-Classical Clustering for Preparing a Prior Distribution of Eigenspectrum
• Many-Fermion Simulation from the Contracted Quantum Eigensolver without Fermionic Encoding of the Wave Function