Simulating the same physics with two distinct Hamiltonians

Abstract

We develop a framework and give an example for situations where two distinct Hamiltonians living in the same Hilbert space can be used to simulate the same physics. As an example of an analog simulation, we first discuss how one can simulate an infinite-range-interaction one-axis twisting Hamiltonian using a short-range nearest-neighbor-interaction Heisenberg XXX model with a staggered field. Based on this, we show how one can build an alternative version of a digital quantum simulator. As a by-product, we present a method for creating many-body maximally entangled states using only short-range nearest-neighbor interactions.

5 pages, 3 figures

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• Enhancing quantum state tomography via resource-efficient attention-based neural networks
• Generation of scalable many-body Bell correlations in spin chains with short-range two-body interactions
• Achieving spin-squeezed states by quench dynamics in a quantum chain
• Variational quantum state preparation for quantum-enhanced metrology in noisy systems
• Generation of complete graph states in a spin-$1/2$ Heisenberg chain with a globally optimized magnetic field
• Simplifying the simulation of local Hamiltonian dynamics
• Conditional Entanglement Amplification via Non-Hermitian Superradiant Dynamics
• Transfer of quantum-enhanced information through a many-body system