Universal imaginary-time critical dynamics on a quantum computer
- URL: http://arxiv.org/abs/2308.05408v1
- Date: Thu, 10 Aug 2023 08:04:33 GMT
- Title: Universal imaginary-time critical dynamics on a quantum computer
- Authors: Shi-Xin Zhang and Shuai Yin
- Abstract summary: We propose a systematic and scalable scheme to probe the universal behaviors via imaginary-time critical dynamics on quantum computers.
We successfully probe the universality by scaling analysis of the critical dynamics at an early time and with shallower quantum circuit depth.
We also confirm the expected scaling behavior from experimental results on a superconducting quantum processor.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Quantum computers promise a highly efficient approach to investigate quantum
phase transitions, which describe abrupt changes between different ground
states of many-body systems. At quantum critical points, the divergent
correlation length and entanglement entropy render the ground state preparation
difficult. In this work, we explore the imaginary-time evolution for probing
the universal critical behavior as the universal information of the ground
state can be extracted in the early-time relaxation process. We propose a
systematic and scalable scheme to probe the universal behaviors via
imaginary-time critical dynamics on quantum computers and demonstrate the
validness of our approach by both numerical simulation and quantum hardware
experiments. With the full form of the universal scaling function in terms of
imaginary time, system size, and circuit depth, we successfully probe the
universality by scaling analysis of the critical dynamics at an early time and
with shallower quantum circuit depth. Equipped with quantum error mitigation,
we also confirm the expected scaling behavior from experimental results on a
superconducting quantum processor which stands as the first experimental
demonstration on universal imaginary-time quantum critical dynamics.
Related papers
- Quantum ergodicity and scrambling in quantum annealers [0.0]
We show that the unitary evolution operator describing the complete dynamics of quantum annealers is typically highly quantum chaotic.
We observe that the Heisenberg dynamics of a quantum annealer leads to extensive operator spreading, a hallmark of quantum information scrambling.
arXiv Detail & Related papers (2024-11-19T16:34:35Z) - Thermalization and Criticality on an Analog-Digital Quantum Simulator [133.58336306417294]
We present a quantum simulator comprising 69 superconducting qubits which supports both universal quantum gates and high-fidelity analog evolution.
We observe signatures of the classical Kosterlitz-Thouless phase transition, as well as strong deviations from Kibble-Zurek scaling predictions.
We digitally prepare the system in pairwise-entangled dimer states and image the transport of energy and vorticity during thermalization.
arXiv Detail & Related papers (2024-05-27T17:40:39Z) - Probing critical phenomena in open quantum systems using atom arrays [3.365378662696971]
At quantum critical points, correlations decay as a power law, with exponents determined by a set of universal scaling dimensions.
Here, we employ a Rydberg quantum simulator to adiabatically prepare critical ground states of both a one-dimensional ring and a two-dimensional square lattice.
By accounting for and tuning the openness of our quantum system, we are able to directly observe power-law correlations and extract the corresponding scaling dimensions.
arXiv Detail & Related papers (2024-02-23T15:21:38Z) - 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) - Quantum algorithms for quantum dynamics: A performance study on the
spin-boson model [68.8204255655161]
Quantum algorithms for quantum dynamics simulations are traditionally based on implementing a Trotter-approximation of the time-evolution operator.
variational quantum algorithms have become an indispensable alternative, enabling small-scale simulations on present-day hardware.
We show that, despite providing a clear reduction of quantum gate cost, the variational method in its current implementation is unlikely to lead to a quantum advantage.
arXiv Detail & Related papers (2021-08-09T18:00:05Z) - 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) - Probing quantum information propagation with out-of-time-ordered
correlators [41.12790913835594]
Small-scale quantum information processors hold the promise to efficiently emulate many-body quantum systems.
Here, we demonstrate the measurement of out-of-time-ordered correlators (OTOCs)
A central requirement for our experiments is the ability to coherently reverse time evolution.
arXiv Detail & Related papers (2021-02-23T15:29:08Z) - Experimental implementation of universal holonomic quantum computation
on solid-state spins with optimal control [12.170408456188934]
We experimentally implement nonadiabatic holonomic quantum computation with solid spins in diamond at room-temperature.
Compared with previous geometric methods, the fidelities of a universal set of holonomic single-qubit and two-qubit quantum logic gates are improved.
This work makes an important step towards fault-tolerant scalable geometric quantum computation in realistic systems.
arXiv Detail & Related papers (2021-02-18T09:02:02Z) - Information Scrambling in Computationally Complex Quantum Circuits [56.22772134614514]
We experimentally investigate the dynamics of quantum scrambling on a 53-qubit quantum processor.
We show that while operator spreading is captured by an efficient classical model, operator entanglement requires exponentially scaled computational resources to simulate.
arXiv Detail & Related papers (2021-01-21T22:18:49Z)
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.