Observation of the non-Hermitian skin effect and Fermi skin on a digital quantum computer

• URL: http://arxiv.org/abs/2311.10143v3
• Date: Mon, 21 Oct 2024 03:47:17 GMT
• Title: Observation of the non-Hermitian skin effect and Fermi skin on a digital quantum computer
• Authors: Ruizhe Shen, Tianqi Chen, Bo Yang, Ching Hua Lee,
• Abstract summary: We report the first observation of the non-Hermitian skin effect (NHSE) on a universal quantum processor. We show how such a non-unitary operation can be systematically realized by post-selecting multiple ancilla qubits. Our study represents a critical milestone in the quantum simulation of non-Hermitian lattice phenomena on present-day quantum computers.
• Score: 7.594507701813969
• License:
• Abstract: Non-Hermitian physics has attracted considerable attention in recent years, particularly the non-Hermitian skin effect (NHSE) for its extreme sensitivity and non-locality. While the NHSE has been physically observed in various classical metamaterials and even ultracold atomic arrays, its highly-nontrivial implications in many-body dynamics have never been experimentally investigated. In this work, we report the first observation of the NHSE on a universal quantum processor, as well as its characteristic but elusive Fermi skin from many-fermion statistics. To implement NHSE dynamics on a quantum computer, the effective time-evolution circuit not only needs to be non-reciprocal and non-unitary but must also be scaled up to a sufficient number of lattice qubits to achieve spatial non-locality. We show how such a non-unitary operation can be systematically realized by post-selecting multiple ancilla qubits, as demonstrated through two paradigmatic non-reciprocal models on a noisy IBM quantum processor, with clear signatures of asymmetric spatial propagation and many-body Fermi skin accumulation. To minimize errors from inevitable device noise, time evolution is performed using a trainable, optimized quantum circuit produced with variational quantum algorithms. Our study represents a critical milestone in the quantum simulation of non-Hermitian lattice phenomena on present-day quantum computers and can be readily generalized to more sophisticated many-body models with the remarkable programmability of quantum computers.

Related papers

• Superconducting Quantum Simulation for Many-Body Physics beyond Equilibrium [0.0]
  We review the basic concepts of superconducting quantum simulation and their recent experimental progress. We discuss the prospects of quantum simulation experiments to truly solve open problems in nonequilibrium many-body systems.
  arXiv  Detail & Related papers  (2024-10-16T08:27:01Z)
• Observation of disorder-free localization and efficient disorder averaging on a quantum processor [117.33878347943316]
  We implement an efficient procedure on a quantum processor, leveraging quantum parallelism, to efficiently sample over all disorder realizations. We observe localization without disorder in quantum many-body dynamics in one and two dimensions.
  arXiv  Detail & Related papers  (2024-10-09T05:28:14Z)
• Fourier Neural Operators for Learning Dynamics in Quantum Spin Systems [77.88054335119074]
  We use FNOs to model the evolution of random quantum spin systems. We apply FNOs to a compact set of Hamiltonian observables instead of the entire $2n$ quantum wavefunction.
  arXiv  Detail & Related papers  (2024-09-05T07:18:09Z)
• Demonstration of a variational quantum eigensolver with a solid-state spin system under ambient conditions [15.044543674753308]
  Quantum simulators offer the potential to utilize the quantum nature of a physical system to study another physical system. The variational-quantum-eigensolver algorithm is a particularly promising application for investigating molecular electronic structures. Spin-based solid-state qubits have the advantage of long decoherence time and high-fidelity quantum gates.
  arXiv  Detail & Related papers  (2024-07-23T09:17:06Z)
• Quantum Equilibrium Propagation for efficient training of quantum systems based on Onsager reciprocity [0.0]
  Equilibrium propagation (EP) is a procedure that has been introduced and applied to classical energy-based models which relax to an equilibrium. Here, we show a direct connection between EP and Onsager reciprocity and exploit this to derive a quantum version of EP. This can be used to optimize loss functions that depend on the expectation values of observables of an arbitrary quantum system.
  arXiv  Detail & Related papers  (2024-06-10T17:22:09Z)
• Quantum data learning for quantum simulations in high-energy physics [55.41644538483948]
  We explore the applicability of quantum-data learning to practical problems in high-energy physics. We make use of ansatz based on quantum convolutional neural networks and numerically show that it is capable of recognizing quantum phases of ground states. The observation of non-trivial learning properties demonstrated in these benchmarks will motivate further exploration of the quantum-data learning architecture in high-energy physics.
  arXiv  Detail & Related papers  (2023-06-29T18:00:01Z)
• 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)
• Noisy Quantum Kernel Machines [58.09028887465797]
  An emerging class of quantum learning machines is that based on the paradigm of quantum kernels. We study how dissipation and decoherence affect their performance. We show that decoherence and dissipation can be seen as an implicit regularization for the quantum kernel machines.
  arXiv  Detail & Related papers  (2022-04-26T09:52:02Z)
• Quantum Neuronal Sensing of Quantum Many-Body States on a 61-Qubit Programmable Superconducting Processor [17.470012490921192]
  Classifying many-body quantum states with distinct properties and phases of matter is one of the most fundamental tasks in quantum many-body physics. Here, we propose a new approach called quantum neuronal sensing. We show that our scheme can efficiently classify two different types of many-body phenomena.
  arXiv  Detail & Related papers  (2022-01-16T03:20:04Z)
• Quantum Non-equilibrium Many-Body Spin-Photon Systems [91.3755431537592]
  dissertation concerns the quantum dynamics of strongly-correlated quantum systems in out-of-equilibrium states. Our main results can be summarized in three parts: Signature of Critical Dynamics, Driven Dicke Model as a Test-bed of Ultra-Strong Coupling, and Beyond the Kibble-Zurek Mechanism.
  arXiv  Detail & Related papers  (2020-07-23T19:05:56Z)

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.