Conserved charges in the quantum simulation of integrable spin chains
- URL: http://arxiv.org/abs/2208.00576v2
- Date: Mon, 3 Apr 2023 07:04:46 GMT
- Title: Conserved charges in the quantum simulation of integrable spin chains
- Authors: Kazunobu Maruyoshi, Takuya Okuda, Juan William Pedersen, Ryo Suzuki,
Masahito Yamazaki, Yutaka Yoshida
- Abstract summary: Trotter error in integrable spin chains can be under control if the discrete time evolution preserves integrability.
We study how quantum noise affects the time evolution of several conserved charges, and observe the decay of the expectation values.
- Score: 1.5441222602475004
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: When simulating the time evolution of quantum many-body systems on a digital
quantum computer, one faces the challenges of quantum noise and of the Trotter
error due to time discretization. The Trotter error in integrable spin chains
can be under control if the discrete time evolution preserves integrability. In
this work we implement, on a real quantum computer and on classical simulators,
the integrable Trotterization of the spin-1/2 Heisenberg XXX spin chain. We
study how quantum noise affects the time evolution of several conserved
charges, and observe the decay of the expectation values. We in addition study
the early time behaviors of the time evolution, which can potentially be used
to benchmark quantum devices and algorithms in the future. We also provide an
efficient method to generate the conserved charges at higher orders.
Related papers
- Hilbert-Space Ergodicity in Driven Quantum Systems: Obstructions and
Designs [0.0]
We study a notion of quantum ergodicity for closed systems with time-dependent Hamiltonians.
We show that statistical pseudo-randomness can already be achieved by a quantum system driven with a single frequency.
arXiv Detail & Related papers (2024-02-09T19:00:00Z) - Variational Quantum Time Evolution without the Quantum Geometric Tensor [0.6562256987706128]
variational quantum time evolution is a promising candidate for near-term devices.
We show that our algorithm accurately reproduces the system dynamics at a fraction of the cost of standard variational quantum time evolution algorithms.
As an application of quantum imaginary-time evolution, we calculate a thermodynamic observable, the energy per site, of the Heisenberg model.
arXiv Detail & Related papers (2023-03-22T18:00:08Z) - Quantum Uncertainty as an Intrinsic Clock [0.0]
In quantum mechanics, a classical particle is raised to a wave-function, thereby acquiring many more degrees of freedom.
We show that the Ermakov-Lewis invariant for the classical evolution in a time-dependent harmonic potential is actually the quantum uncertainty of a Gaussian wave-packet.
This naturally extends the classical Ermakov-Lewis invariant to a constant of motion for quantum systems following Schrodinger equation.
arXiv Detail & Related papers (2022-12-19T13:32:55Z) - Probing resonating valence bonds on a programmable germanium quantum
simulator [0.0]
We introduce quantum simulation using hole spins in germanium quantum dots.
We demonstrate extensive and coherent control enabling the tuning of multi-spin states in isolated, paired, and fully coupled quantum dots.
arXiv Detail & Related papers (2022-08-24T12:55:51Z) - Simulating spin dynamics with quantum computers [0.0]
IBM quantum computers are used to simulate the dynamics of small systems of interacting quantum spins.
We construct circuits which compute the exact time evolution at arbitrary times and allow measurement of spin expectation values.
Basic readout-error mitigation is introduced to improve the quality of results run on these noisy devices.
arXiv Detail & Related papers (2022-06-29T16:46:04Z) - 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) - 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) - 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) - Quantum information spreading in a disordered quantum walk [50.591267188664666]
We design a quantum probing protocol using Quantum Walks to investigate the Quantum Information spreading pattern.
We focus on the coherent static and dynamic disorder to investigate anomalous and classical transport.
Our results show that a Quantum Walk can be considered as a readout device of information about defects and perturbations occurring in complex networks.
arXiv Detail & Related papers (2020-10-20T20:03:19Z) - Jumptime unraveling of Markovian open quantum systems [68.8204255655161]
We introduce jumptime unraveling as a distinct description of open quantum systems.
quantum jump trajectories emerge, physically, from continuous quantum measurements.
We demonstrate that quantum trajectories can also be ensemble-averaged at specific jump counts.
arXiv Detail & Related papers (2020-01-24T09:35:32Z)
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.