Quantum algorithms for cooling: a simple case study
- URL: http://arxiv.org/abs/2503.24330v1
- Date: Mon, 31 Mar 2025 17:19:12 GMT
- Title: Quantum algorithms for cooling: a simple case study
- Authors: Daniel Molpeceres, Sirui Lu, J. Ignacio Cirac, Barbara Kraus,
- Abstract summary: Preparation of low-energy quantum many-body states has a wide range of applications in quantum information processing and condensed matter physics.<n>Quantum cooling algorithms offer a promising alternative to other methods based on variational and adiabatic principles, or on dissipative state preparation.
- Score: 0.29998889086656577
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Preparation of low-energy quantum many-body states has a wide range of applications in quantum information processing and condensed matter physics. Quantum cooling algorithms offer a promising alternative to other methods based, for instance, on variational and adiabatic principles, or on dissipative state preparation. In this work, we investigate a set of cooling algorithms in a simple, solvable fermionic model which allows us to identify the mechanisms which underlie the cooling process and, also, those which prevent it. We derive analytical expressions for the cooling dynamics, steady states, and cooling rates in the weak coupling limit. We find that multi-frequency and randomized cycle strategies can significantly enhance the performance of the quantum algorithm and circumvent some of the obstacles. We also analyze the effects of noise and evaluate the conditions under which cooling remains feasible. Furthermore, we present optimized cooling protocols that can significantly enhance cooling performance in the presence of noise. Additionally, we compare cooling and dissipative state preparation and show that, in the model analyzed here, cooling generally achieves lower energies and is more resilient to noise.
Related papers
- The application of annealing in quantum cooling protocols [0.0]
We describe the cooling process based on perturbation theory, validated the advantages of bath under time-modulated Zeeman field.<n>We show that the cooling protocol's resistance to noise depends on the type of quantum noise.
arXiv Detail & Related papers (2025-01-09T14:24:07Z) - Improving Quantum Machine Learning via Heat-Bath Algorithmic Cooling [0.46040036610482665]
This work introduces an approach rooted in quantum thermodynamics to enhance sampling efficiency in quantum machine learning (QML)<n>We develop a quantum refrigerator protocol that enhances sample efficiency during training and prediction without the need for Grover iterations or quantum phase estimation.
arXiv Detail & Related papers (2025-01-05T23:34:05Z) - Quasiparticle cooling algorithms for quantum many-body state preparation [0.050412210071344554]
We develop a kinetic theory framework to describe quasiparticle cooling dynamics, and employ it to compare the efficiency of different cooling algorithms.<n>We show how the steady state quasiparticle populations depend on the noise rate, and we establish maximum noise values for achieving high-fidelity ground states.<n>This work establishes quasiparticle cooling algorithms as a practical, robust method for many-body state preparation on near-term quantum processors.
arXiv Detail & Related papers (2024-04-18T13:31:30Z) - Quantum thermodynamics of the spin-boson model using the principle of minimal dissipation [41.94295877935867]
We investigate the influence of the environment on quantities such as work, heat and entropy production.
The results reveal significant differences to the weak-coupling forms of work, heat and entropy production.
arXiv Detail & Related papers (2024-04-18T12:11:18Z) - Robust Extraction of Thermal Observables from State Sampling and
Real-Time Dynamics on Quantum Computers [49.1574468325115]
We introduce a technique that imposes constraints on the density of states, most notably its non-negativity, and show that this way, we can reliably extract Boltzmann weights from noisy time series.
Our work enables the implementation of the time-series algorithm on present-day quantum computers to study finite temperature properties of many-body quantum systems.
arXiv Detail & Related papers (2023-05-30T18:00:05Z) - Quantum Thermal State Preparation [39.91303506884272]
We introduce simple continuous-time quantum Gibbs samplers for simulating quantum master equations.
We construct the first provably accurate and efficient algorithm for preparing certain purified Gibbs states.
Our algorithms' costs have a provable dependence on temperature, accuracy, and the mixing time.
arXiv Detail & Related papers (2023-03-31T17:29:56Z) - 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) - Noise-Assisted Variational Quantum Thermalization [4.118741675173778]
Variational circuits have been proposed for simulating thermal states on quantum computers.
We propose a new algorithm for thermal state preparation by exploiting the noise of quantum circuits.
We show that the ability for our algorithm to learn the thermal state strongly depends on the temperature.
arXiv Detail & Related papers (2021-11-06T18:24:01Z) - 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) - Quantum noise can enhance algorithmic cooling [0.0]
Heat-Bath Algorithmic Cooling techniques are used to purify a target element in a quantum system.
Noise can in some cases enhance the performance and improve the cooling limit of Heat-Bath Algorithmic Cooling techniques.
arXiv Detail & Related papers (2021-07-15T13:47:10Z) - Quantum Markov Chain Monte Carlo with Digital Dissipative Dynamics on
Quantum Computers [52.77024349608834]
We develop a digital quantum algorithm that simulates interaction with an environment using a small number of ancilla qubits.
We evaluate the algorithm by simulating thermal states of the transverse Ising model.
arXiv Detail & Related papers (2021-03-04T18:21:00Z) - Algorithmic Cooling of Nuclear Spin Pairs using a Long-Lived Singlet
State [48.7576911714538]
We show that significant cooling is achieved on an ensemble of spin-pair systems by exploiting the long-lived nuclear singlet state.
This is the first demonstration of algorithmic cooling using a quantum superposition state.
arXiv Detail & Related papers (2019-12-31T09:57:03Z)
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.