Kinetic uncertainty relations for quantum transport

• URL: http://arxiv.org/abs/2410.10793v2
• Date: Mon, 21 Oct 2024 15:27:11 GMT
• Title: Kinetic uncertainty relations for quantum transport
• Authors: Didrik Palmqvist, Ludovico Tesser, Janine Splettstoesser,
• Abstract summary: We show that the precision of the currents is limited by a function of the particle-current noise that can be interpreted as the activity in the classical limit. In the full quantum limit, we find precision bounds in which we modify the activity constraints depending on whether the system is fermionic or bosonic.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We analyze the precision of currents in a generic multi-terminal quantum-transport setting. Employing scattering theory, we show that the precision of the currents is limited by a function of the particle-current noise that can be interpreted as the activity in the classical limit. We thereby establish a kinetic uncertainty relation for quantum transport. In the full quantum limit, we find precision bounds in which we modify the activity constraints depending on whether the system is fermionic or bosonic. We expect these bounds to be guidelines for any transport process aiming at high precision.

Related papers

• Role of Quantum Coherence in Kinetic Uncertainty Relations [0.0]
  Kinetic Uncertainty Relation (KUR) bounds the signal-to-noise ratio of currents in terms of the number of transitions per unit time. The precise connection between KUR violations and quantum coherence has so far remained elusive.
  arXiv  Detail & Related papers  (2024-07-19T09:26:16Z)
• Hysteresis and Self-Oscillations in an Artificial Memristive Quantum Neuron [79.16635054977068]
  We study an artificial neuron circuit containing a quantum memristor in the presence of relaxation and dephasing. We demonstrate that this physical principle enables hysteretic behavior of the current-voltage characteristics of the quantum device.
  arXiv  Detail & Related papers  (2024-05-01T16:47:23Z)
• Embezzling entanglement from quantum fields [41.94295877935867]
  Embezzlement of entanglement refers to the counterintuitive possibility of extracting entangled quantum states from a reference state of an auxiliary system. We uncover a deep connection between the operational task of embezzling entanglement and the mathematical classification of von Neumann algebras.
  arXiv  Detail & Related papers  (2024-01-14T13:58:32Z)
• Hierarchies of Frequentist Bounds for Quantum Metrology: From Cram\'er-Rao to Barankin [0.0]
  We obtain hierarchies of increasingly tight bounds that include the quantum Cram'er-Rao bound at the lowest order. Results reveal generalizations of the quantum Fisher information that are able to avoid regularity conditions.
  arXiv  Detail & Related papers  (2023-03-10T17:55:52Z)
• 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)
• Spin operator, Bell nonlocality and Tsirelson bound in quantum-gravity induced minimal-length quantum mechanics [0.0]
  We show that the spin operator acquires a momentum-dependent contribution in quantum mechanics equipped with a minimal length. Among other consequences, this modification induces a form of quantum nonlocality stronger than the one arising in ordinary quantum mechanics.
  arXiv  Detail & Related papers  (2022-07-21T11:22:33Z)
• Quantum speed limits on operator flows and correlation functions [0.0]
  Quantum speed limits (QSLs) identify fundamental time scales of physical processes by providing lower bounds on the rate of change of a quantum state or the expectation value of an observable. We derive two types of QSLs and assess the existence of a crossover between them, that we illustrate with a qubit and a random matrix Hamiltonian. We further apply our results to the time evolution of autocorrelation functions, obtaining computable constraints on the linear response of quantum systems out of equilibrium and the quantum Fisher information governing the precision in quantum parameter estimation.
  arXiv  Detail & Related papers  (2022-07-12T18:00:07Z)
• Direct Quantum Communications in the Presence of Realistic Noisy Entanglement [69.25543534545538]
  We propose a novel quantum communication scheme relying on realistic noisy pre-shared entanglement. Our performance analysis shows that the proposed scheme offers competitive QBER, yield, and goodput.
  arXiv  Detail & Related papers  (2020-12-22T13:06:12Z)
• Fluctuation-enhanced quantum metrology [7.803101992660843]
  We show, contrary to the conventional belief, the fluctuation can be used to improve the precision limits in quantum metrology. We provide explicit protocols, which employs the adaptive quantum error correction, to achieve the higher precision limits with the fluctuating fields.
  arXiv  Detail & Related papers  (2020-03-29T12:12:59Z)
• Entropic Uncertainty Relations and the Quantum-to-Classical transition [77.34726150561087]
  We aim to shed some light on the quantum-to-classical transition as seen through the analysis of uncertainty relations. We employ entropic uncertainty relations to show that it is only by the inclusion of imprecision in our model of macroscopic measurements that we can prepare a system with two simultaneously well-defined quantities.
  arXiv  Detail & Related papers  (2020-03-04T14:01:17Z)
• Quantum Statistical Complexity Measure as a Signalling of Correlation Transitions [55.41644538483948]
  We introduce a quantum version for the statistical complexity measure, in the context of quantum information theory, and use it as a signalling function of quantum order-disorder transitions. We apply our measure to two exactly solvable Hamiltonian models, namely: the $1D$-Quantum Ising Model and the Heisenberg XXZ spin-$1/2$ chain. We also compute this measure for one-qubit and two-qubit reduced states for the considered models, and analyse its behaviour across its quantum phase transitions for finite system sizes as well as in the thermodynamic limit by using Bethe ansatz.
  arXiv  Detail & Related papers  (2020-02-05T00:45:21Z)

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.