Prolonging a discrete time crystal by quantum-classical feedback

• URL: http://arxiv.org/abs/2309.02151v2
• Date: Thu, 25 Jul 2024 07:51:23 GMT
• Title: Prolonging a discrete time crystal by quantum-classical feedback
• Authors: Gonzalo Camacho, Benedikt Fauseweh,
• Abstract summary: We propose a timeperiodic scheme that leverages quantum-classical feedback protocols in subregions of the system to enhance a time crystal signal significantly exceeding the decoherence time of the device. Based on classical simulation quantum circuit realizations, we find that this approach is suitable for implementation on existing quantum phases and hardware.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Nonequilibrium phases of quantum matter featuring time crystalline eigenstate order have been realized recently on noisy intermediate-scale quantum (NISQ) devices. While ideal quantum time crystals exhibit collective subharmonic oscillations and spatiotemporal long-range order persisting for infinite times, the decoherence time of current NISQ devices sets a natural limit to the survival of these phases, restricting their observation to a shallow quantum circuit. Here we propose a time-periodic scheme that leverages quantum-classical feedback protocols in subregions of the system to enhance a time crystal signal significantly exceeding the decoherence time of the device. As a case of study, we demonstrate the survival of the many-body localized discrete time crystal phase in the one-dimensional periodically kicked Ising model, accounting for decoherence of the system with an environment. Based on classical simulation of quantum circuit realizations we find that this approach is suitable for implementation on existing quantum hardware and presents a prospective path to simulate complex quantum many-body dynamics that transcend the low depth limit of current digital quantum computers.

Related papers

• Dynamics of Symmetry-Protected Topological Matter on a Quantum Computer [0.791663505497707]
  Control of topological edge modes is desirable for encoding quantum information resiliently against external noise. Our results provide a pathway towards stable long-time implementation of topological quantum spin systems on present day quantum processors.
  arXiv  Detail & Related papers  (2024-02-20T02:17:30Z)
• Combining Matrix Product States and Noisy Quantum Computers for Quantum Simulation [0.0]
  Matrix Product States (MPS) and Operators (MPO) have been proven to be a powerful tool to study quantum many-body systems. We show that using classical knowledge in the form of tensor networks provides a way to better use limited quantum resources.
  arXiv  Detail & Related papers  (2023-05-30T17:21:52Z)
• Entangled time-crystal phase in an open quantum light-matter system [0.0]
  Time-crystals are nonequilibrium many-body phases in which the state of the system dynamically approaches a limit cycle. We show that time-crystal phases in collective open quantum systems can sustain quantum correlations, including entanglement.
  arXiv  Detail & Related papers  (2023-03-14T09:15:50Z)
• Universality of critical dynamics with finite entanglement [68.8204255655161]
  We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement. Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
  arXiv  Detail & Related papers  (2023-01-23T19:23:54Z)
• Probing finite-temperature observables in quantum simulators of spin systems with short-time dynamics [62.997667081978825]
  We show how finite-temperature observables can be obtained with an algorithm motivated from the Jarzynski equality. We show that a finite temperature phase transition in the long-range transverse field Ising model can be characterized in trapped ion quantum simulators.
  arXiv  Detail & Related papers  (2022-06-03T18:00:02Z)
• Observation of Time-Crystalline Eigenstate Order on a Quantum Processor [80.17270167652622]
  Quantum-body systems display rich phase structure in their low-temperature equilibrium states. We experimentally observe an eigenstate-ordered DTC on superconducting qubits. Results establish a scalable approach to study non-equilibrium phases of matter on current quantum processors.
  arXiv  Detail & Related papers  (2021-07-28T18:00:03Z)
• Preparing random states and benchmarking with many-body quantum chaos [48.044162981804526]
  We show how to predict and experimentally observe the emergence of random state ensembles naturally under time-independent Hamiltonian dynamics. The observed random ensembles emerge from projective measurements and are intimately linked to universal correlations built up between subsystems of a larger quantum system. Our work has implications for understanding randomness in quantum dynamics, and enables applications of this concept in a wider context.
  arXiv  Detail & Related papers  (2021-03-05T08:32:43Z)
• Imaginary Time Propagation on a Quantum Chip [50.591267188664666]
  Evolution in imaginary time is a prominent technique for finding the ground state of quantum many-body systems. We propose an algorithm to implement imaginary time propagation on a quantum computer.
  arXiv  Detail & Related papers  (2021-02-24T12:48:00Z)
• Continuous-time dynamics and error scaling of noisy highly-entangling quantum circuits [58.720142291102135]
  We simulate a noisy quantum Fourier transform processor with up to 21 qubits. We take into account microscopic dissipative processes rather than relying on digital error models. We show that depending on the dissipative mechanisms at play, the choice of input state has a strong impact on the performance of the quantum algorithm.
  arXiv  Detail & Related papers  (2021-02-08T14:55:44Z)
• Many-body physics in the NISQ era: quantum programming a discrete time crystal [0.0]
  We show that a new generation of quantum simulators can be programmed to realize the discrete time crystals phase. Specifically, the architecture of Google's Sycamore processor is remarkably close match for the task at hand.
  arXiv  Detail & Related papers  (2020-07-22T18:01:04Z)
• Quantum time crystals with programmable disorder in higher dimensions [0.0]
  We present fresh evidence for the presence of discrete quantum time crystals in two spatial dimensions. They are intricate quantum systems that break discrete time translation symmetry in driven quantum many-body systems undergoing non-equilibrium dynamics.
  arXiv  Detail & Related papers  (2020-04-15T18:02:07Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.