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Randomized term grouping over physical law on digital quantum simulation

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arxiv 2309.14378 v3 pith:FALKK2GN submitted 2023-09-24 quant-ph

Randomized term grouping over physical law on digital quantum simulation

classification quant-ph
keywords quantumcircuitdigitalerrormodelnoisyrandomizedachieved
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We introduce a randomized algorithm based on qDrift to compute Hamiltonian dynamics on digital quantum computers. We frame it as physDrift because conservation laws in physics are obeyed during evolution of arbitrary quantum states. Empirically we achieved better spectral error reduction with hydrogen chain model compared to previous protocols. Noisy model are investigated as well and we characterised them in the circuit with different schemes, i.e. an attenuation of the measured expectation value is fixed by keeping the circuit depth the same and depolarising error is simulated with randomly applied Pauli gates. This makes it our proposal particularly feasible for implementing and testing on present-day noisy hardware.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Circuit-Efficient Randomized Quantum Simulation of Non-Unitary Dynamics with Observable-Driven and Symmetry-Aware Designs

    quant-ph 2025-09 reject novelty 5.0

    A randomized compilation of LCHS for non-unitary dynamics, with an observable-driven variant and a symmetry-aware sampler, claims reduced ancilla and circuit depth at the cost of more repetitions.