Quantum Simulation of Field Theories Without State Preparation
- URL: http://arxiv.org/abs/2001.11490v1
- Date: Thu, 30 Jan 2020 18:23:23 GMT
- Title: Quantum Simulation of Field Theories Without State Preparation
- Authors: Siddhartha Harmalkar, Henry Lamm, Scott Lawrence
- Abstract summary: We propose an algorithm for computing real-time observables using a quantum processor while avoiding the need to prepare the full quantum state.
This reduction in quantum resources is achieved by classically sampling configurations in imaginary-time using standard lattice field theory.
- Score: 0.0
- License: http://creativecommons.org/publicdomain/zero/1.0/
- Abstract: We propose an algorithm for computing real-time observables using a quantum
processor while avoiding the need to prepare the full quantum state. This
reduction in quantum resources is achieved by classically sampling
configurations in imaginary-time using standard lattice field theory. These
configurations can then be passed to quantum processor for time-evolution. This
method encounters a signal-to-noise problem which we characterize, and we
demonstrate the application of standard lattice QCD methods to mitigate it.
Related papers
- Simulating quantum field theories on continuous-variable quantum computers [0.0]
We develop and prove a method to reproduce the time evolution of quantum-mechanical states under arbitrary Hamiltonians.
Our method centres on constructing an evolver-state, a specially prepared quantum state that induces the desired time-evolution on the target state.
We propose a framework in which these methods can be extended to encode field theories in CVQC without discretising the field values.
arXiv Detail & Related papers (2024-03-15T18:31:09Z) - 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) - Circuit Symmetry Verification Mitigates Quantum-Domain Impairments [69.33243249411113]
We propose circuit-oriented symmetry verification that are capable of verifying the commutativity of quantum circuits without the knowledge of the quantum state.
In particular, we propose the Fourier-temporal stabilizer (STS) technique, which generalizes the conventional quantum-domain formalism to circuit-oriented stabilizers.
arXiv Detail & Related papers (2021-12-27T21:15:35Z) - State preparation and evolution in quantum computing: a perspective from
Hamiltonian moments [5.774827369850958]
Recent efforts highlight the development of quantum algorithms based upon quantum computed Hamiltonian moments.
This tutorial review focuses on the typical ways of computing Hamiltonian moments using quantum hardware and improving the accuracy of the estimated state energies.
arXiv Detail & Related papers (2021-09-27T04:24:19Z) - Non-Gaussian photonic state engineering with the quantum frequency
processor [0.7758302353877525]
Non-Gaussian quantum states of light are critical resources for optical quantum information processing.
We introduce a generic approach for non-Gaussian state production from input states populating discrete frequency bins.
arXiv Detail & Related papers (2021-08-18T17:58:42Z) - Error mitigation and quantum-assisted simulation in the error corrected
regime [77.34726150561087]
A standard approach to quantum computing is based on the idea of promoting a classically simulable and fault-tolerant set of operations.
We show how the addition of noisy magic resources allows one to boost classical quasiprobability simulations of a quantum circuit.
arXiv Detail & Related papers (2021-03-12T20:58:41Z) - The Hintons in your Neural Network: a Quantum Field Theory View of Deep
Learning [84.33745072274942]
We show how to represent linear and non-linear layers as unitary quantum gates, and interpret the fundamental excitations of the quantum model as particles.
On top of opening a new perspective and techniques for studying neural networks, the quantum formulation is well suited for optical quantum computing.
arXiv Detail & Related papers (2021-03-08T17:24:29Z) - 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) - Quantum simulation of open quantum systems in heavy-ion collisions [0.0]
We present a framework to simulate the dynamics of hard probes such as heavy quarks or jets in a hot, strongly-coupled quark-gluon plasma (QGP) on a quantum computer.
Our work demonstrates the feasibility of simulating open quantum systems on current and near-term quantum devices.
arXiv Detail & Related papers (2020-10-07T18:00:02Z) - Real- and imaginary-time evolution with compressed quantum circuits [0.5089078998562184]
We show that quantum circuits can provide a dramatically more efficient representation than current classical numerics.
For quantum circuits, we perform both real- and imaginary-time evolution using an optimization algorithm that is feasible on near-term quantum computers.
arXiv Detail & Related papers (2020-08-24T11:16:43Z) - State preparation and measurement in a quantum simulation of the O(3)
sigma model [65.01359242860215]
We show that fixed points of the non-linear O(3) sigma model can be reproduced near a quantum phase transition of a spin model with just two qubits per lattice site.
We apply Trotter methods to obtain results for the complexity of adiabatic ground state preparation in both the weak-coupling and quantum-critical regimes.
We present and analyze a quantum algorithm based on non-unitary randomized simulation methods.
arXiv Detail & Related papers (2020-06-28T23:44:12Z)
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.