Going Beyond Gadgets: The Importance of Scalability for Analogue Quantum
Simulators
- URL: http://arxiv.org/abs/2306.13739v2
- Date: Mon, 14 Aug 2023 12:46:53 GMT
- Title: Going Beyond Gadgets: The Importance of Scalability for Analogue Quantum
Simulators
- Authors: Dylan Harley, Ishaun Datta, Frederik Ravn Klausen, Andreas Bluhm,
Daniel Stilck Fran\c{c}a, Albert Werner, Matthias Christandl
- Abstract summary: We propose a theoretical framework for analogue quantum simulation to capture the full scope of experimentally realisable simulators.
Our framework is consistent with Hamiltonian encodings used in complexity theory, is stable under noise, and encompasses a range of possibilities for experiment.
- Score: 0.889974344676093
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We propose a theoretical framework for analogue quantum simulation to capture
the full scope of experimentally realisable simulators, motivated by a set of
fundamental criteria first introduced by Cirac and Zoller. Our framework is
consistent with Hamiltonian encodings used in complexity theory, is stable
under noise, and encompasses a range of possibilities for experiment, such as
the simulation of open quantum systems and overhead reduction using
Lieb-Robinson bounds. We discuss the requirement of scalability in analogue
quantum simulation, and in particular argue that simulation should not involve
interaction strengths that grow with the size of the system. We develop a
general framework for gadgets used in Hamiltonian complexity theory, which may
be of interest independently of analogue simulation, and in particular prove
that size-dependent scalings are unavoidable in Hamiltonian locality reduction.
However, if one allows for an additional resource of engineered dissipation, we
demonstrate a scheme that circumvents the locality reduction no-go theorem
using the quantum Zeno effect. Our gadget framework opens the door to formalise
and resolve long-standing open questions about gadgets. We conclude with a
discussion on universality results in analogue quantum simulation.
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