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

• URL: http://arxiv.org/abs/2008.06027v2
• Date: Mon, 10 May 2021 15:43:18 GMT
• Title: Lowering Tomography Costs in Quantum Simulation with a Symmetry Projected Operator Basis
• Authors: Scott E. Smart and David A. Mazziotti
• Abstract summary: For most quantum simulations, the targeted state obeys 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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