Search for optimal driving in finite quantum systems with precursors of criticality

• URL: http://arxiv.org/abs/2210.07027v2
• Date: Thu, 12 Jan 2023 09:53:17 GMT
• Title: Search for optimal driving in finite quantum systems with precursors of criticality
• Authors: Felipe Matus, Jan St\v{r}ele\v{c}ek, Pavel Str\'ansk\'y, Pavel Cejnar
• Abstract summary: We design a hierarchy of quantum state preparation protocols that systematically increase the fidelity at very long driving times. We test these and other protocols, including those based on the geometric analysis of the parameter space, in a single-qubit system and in a fully connected multi-qubit system.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Using the adiabatic perturbation theory of driven dynamics [Phys. Rev. A 78, 052508 (2008)] we design a hierarchy of quantum state preparation protocols that systematically increase the fidelity at very long driving times. We test these and other protocols, including those based on the geometric analysis of the parameter space, in a single-qubit system and in a fully connected multi-qubit system showing in its infinite-size limit several quantum phase transitions. The new protocols excel in the asymptotic driving regime, above a crossover time from the Landau-Zener regime which increases with a decreasing minimal energy gap along the driving path (with the size of the system). In the medium-time domain, the performance of all tested protocols is indecisive.

Related papers

• Engineering Transport via Collisional Noise: a Toolbox for Biology Systems [44.99833362998488]
  We study a generalised XXZ model in the presence of collision noise, which allows to describe environments beyond the standard Markovian formulation. Results constitute an example of the essential building blocks for the understanding of quantum transport in noisy and warm disordered environments.
  arXiv  Detail & Related papers  (2023-11-15T12:55:28Z)
• Quantum geometry and bounds on dissipation in slowly driven quantum systems [0.0]
  We show that heat production in slowly driven quantum systems is linked to the topological structure of the driving protocol. Our results bridge topological phenomena and energy dissipation in slowly driven quantum systems.
  arXiv  Detail & Related papers  (2023-06-29T18:00:03Z)
• Dissipative preparation and stabilization of many-body quantum states in a superconducting qutrit array [55.41644538483948]
  We present and analyze a protocol for driven-dissipatively preparing and stabilizing a manifold of quantum manybody entangled states. We perform theoretical modeling of this platform via pulse-level simulations based on physical features of real devices. Our work shows the capacity of driven-dissipative superconducting cQED systems to host robust and self-corrected quantum manybody states.
  arXiv  Detail & Related papers  (2023-03-21T18:02:47Z)
• Multi-User Entanglement Distribution in Quantum Networks Using Multipath Routing [55.2480439325792]
  We propose three protocols that increase the entanglement rate of multi-user applications by leveraging multipath routing. The protocols are evaluated on quantum networks with NISQ constraints, including limited quantum memories and probabilistic entanglement generation.
  arXiv  Detail & Related papers  (2023-03-06T18:06:00Z)
• Decoherence-assisted quantum driving [0.0]
  We propose a protocol for transitionless driving of a bound quantum system in its parameter space. We numerically test the protocol in an interacting multiqubit system, demonstrating its dominance over the method of coherent driving.
  arXiv  Detail & Related papers  (2022-11-21T13:40:33Z)
• Minimally dissipative information erasure in a quantum dot via thermodynamic length [0.415623340386296]
  We implement Landauer erasure on a driven electron level in a semiconductor quantum dot. We compare the standard protocol in which the energy is increased linearly in time with the one coming from geometric optimisation. We show experimentally that geodesic drivings minimise dissipation for slow protocols, with a bigger improvement as one approaches perfect erasure.
  arXiv  Detail & Related papers  (2022-09-05T09:20:09Z)
• Decomposition of Matrix Product States into Shallow Quantum Circuits [62.5210028594015]
  tensor network (TN) algorithms can be mapped to parametrized quantum circuits (PQCs) We propose a new protocol for approximating TN states using realistic quantum circuits. Our results reveal one particular protocol, involving sequential growth and optimization of the quantum circuit, to outperform all other methods.
  arXiv  Detail & Related papers  (2022-09-01T17:08:41Z)
• Optimal quantum control via genetic algorithms for quantum state engineering in driven-resonator mediated networks [68.8204255655161]
  We employ a machine learning-enabled approach to quantum state engineering based on evolutionary algorithms. We consider a network of qubits -- encoded in the states of artificial atoms with no direct coupling -- interacting via a common single-mode driven microwave resonator. We observe high quantum fidelities and resilience to noise, despite the algorithm being trained in the ideal noise-free setting.
  arXiv  Detail & Related papers  (2022-06-29T14:34:00Z)
• Probing infinite many-body quantum systems with finite-size quantum simulators [0.0]
  We propose a protocol that makes optimal use of a given finite-size simulator by directly preparing, on its bulk region, a mixed state. For systems of free fermions in one and two spatial dimensions, we illustrate and explain the underlying physics. For the example of a non-integrable extended Su-Schrieffer-Heeger model, we demonstrate that our protocol enables a more accurate study of QPTs.
  arXiv  Detail & Related papers  (2021-08-27T16:27:46Z)
• Reinforcement Learning for Many-Body Ground-State Preparation Inspired by Counterdiabatic Driving [2.5614220901453333]
  CD-QAOA is designed for quantum many-body systems and optimized using a reinforcement learning (RL) approach. We show that using terms occurring in the adiabatic gauge potential as generators of additional control unitaries, it is possible to achieve fast high-fidelity many-body control away from the adiabatic regime. This work paves the way to incorporate recent success from deep learning for the purpose of quantum many-body control.
  arXiv  Detail & Related papers  (2020-10-07T21:13:22Z)
• Encircling exceptional points as a non-Hermitian extension of rapid adiabatic passage [50.591267188664666]
  We show that a suitable amount of loss to the driven Hamiltonian turns a RAP protocol into a scheme for encircling an exceptional point. Our work thus discloses an intimate connection between a whole body of literature on RAP and recent studies on the dynamics in the vicinity of an exceptional point.
  arXiv  Detail & Related papers  (2020-04-11T20:53:18Z)

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.