Quantum digital cooling Article Swipe

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Stefano Polla , Yaroslav Herasymenko , Thomas E. O’Brien ·

YOU? · · 2019 · Open Access · · DOI: https://doi.org/10.48550/arxiv.1909.10538

We introduce a method for digital preparation of ground states of simulated Hamiltonians, inspired by cooling in nature and adapted to leverage the capabilities of digital quantum hardware. The cold bath is simulated by a single ancillary qubit, which is reset periodically and coupled to the system non-perturbatively. Studying this cooling method on a 1-qubit system toy model, we optimize two cooling protocols based on weak-coupling and strong-coupling approaches. Extending the insight from the 1-qubit system model, we develop two scalable protocols for larger systems. The LogSweep protocol extends the weak-coupling approach by sweeping energies to resonantly match any targeted transition. We test LogSweep on the 1D tranverse-field Ising model, demonstrating approximate ground state preparation with an error that can be made polynomially small in the computation time for all three phases of the system. The BangBang protocol extends the strong-coupling approach, and exploits a heuristics for local Hamiltonians to maximise the probability of de-exciting system transitions in the shortest possible time. Although this protocol does not promise long-time convergence, it allows for a rapid cooling to an approximation of the ground state, making this protocol appealing for near-term demonstrations.

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Computer science Qubit Ising model Scalability Leverage (statistics) Quantum computer Reset (finance) Protocol (science) Coupling (piping) Quantum Computation Heuristics Statistical physics Topology (electrical circuits) Physics Algorithm Quantum mechanics Mathematics Medicine Financial economics Mechanical engineering Pathology Combinatorics Operating system Machine learning Economics Alternative medicine Database Engineering

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Type: article
Language: en
Landing Page: http://hdl.handle.net/1887/74196
PDF: http://hdl.handle.net/1887/74196
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Cited By: 1
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DOI: https://doi.org/10.48550/arxiv.1909.10538

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Title: Quantum digital cooling

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Publication year: 2019

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Publication date: 2019-09-23

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Authors: Stefano Polla, Yaroslav Herasymenko, Thomas E. O’Brien

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Concepts: Computer science, Qubit, Ising model, Scalability, Leverage (statistics), Quantum computer, Reset (finance), Protocol (science), Coupling (piping), Quantum, Computation, Heuristics, Statistical physics, Topology (electrical circuits), Physics, Algorithm, Quantum mechanics, Mathematics, Medicine, Financial economics, Mechanical engineering, Pathology, Combinatorics, Operating system, Machine learning, Economics, Alternative medicine, Database, Engineering

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Cited by: 1

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