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

TL;DR

This paper introduces a symmetry-projected measurement basis that reduces the number of measurements needed in quantum simulation tomography, enhancing efficiency and noise resilience without extra quantum resources.

Contribution

The authors develop a symmetry-projected basis for quantum measurement that lowers tomography costs, applicable across various schemes and resilient to noise.

Findings

Reduces measurement count in quantum tomography

Compatible with multiple measurement schemes

Maintains performance under noisy conditions

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.