Quantum Computer-Based Verification of Quantum Thermodynamic Uncertainty Relation

• URL: http://arxiv.org/abs/2402.19293v3
• Date: Tue, 11 Mar 2025 12:58:29 GMT
• Title: Quantum Computer-Based Verification of Quantum Thermodynamic Uncertainty Relation
• Authors: Nobumasa Ishida, Yoshihiko Hasegawa,
• Abstract summary: We present an approach using quantum computers to verify a general quantum thermodynamic uncertainty relation.<n>Our method, which implements quantum dynamics on physical qubits, enables us to investigate the measurability of relevant quantities.
• Score: 1.6574413179773757
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum thermodynamic uncertainty relations reveal fundamental trade-offs between precision and thermodynamic quantities, yet their empirical verification remains limited. We present an approach using quantum computers to verify a general quantum thermodynamic uncertainty relation. Our method, which implements quantum dynamics on physical qubits, enables us to investigate the measurability of relevant quantities, the relation's validity under physical noise, and its empirical tightness. Specifically, quantum computers' versatility allows for the examination of arbitrary observables. We address current quantum processor limitations through a three-fold strategy: generalizing the relation to generic observables under arbitrary quantum channels, proposing a method to measure the target thermodynamic quantity (survival activity) in the weak coupling regime, and reducing circuit depth by leveraging relation properties. Demonstrations on IBM's cloud-based quantum processor validate our relation in open qubit systems and achieve saturation with an optimal observable requiring entangled measurements. The relation is further verified in a quantum time correlator measurement protocol, confirming the broad applicability of our method. This study highlights the potential of noisy quantum computers for demonstrating quantum thermodynamic trade-offs.

Related papers

• Fundamental constraints on quantum fluctuations: Conservation laws, reality, and no-signaling [0.0]
  Quantum fluctuations affect computing, sensing, cryptography, and thermodynamics. Despite the precise rules quantum mechanics provides for measuring observables at single points in time, no standard framework exists for characterizing the fluctuations of their variations over time. We propose four basic criteria that any consistent measurement of these variations must satisfy, grounded in conservation laws, the no-signaling principle, and expected constraints on physical realism. This result enables the extension of key quantum information concepts, such as entanglement, steering, and Bell's inequalities, to processes rather than instantaneous observables.
  arXiv  Detail & Related papers  (2025-02-18T14:48:21Z)
• Quantum Measurement for Quantum Chemistry on a Quantum Computer [0.0]
  A critical component of any quantum algorithm is the measurement step, where the desired properties are extracted from a quantum computer. This review focuses on recent advancements in quantum measurement techniques tailored for quantum chemistry.
  arXiv  Detail & Related papers  (2025-01-24T23:06:32Z)
• Finite-Time Processes In Quantum Thermodynamics: The Limits Of Irreversibility [0.0]
  The emergence of irreversibility in physical processes, despite the reversible nature of quantum mechanics, remains an open question in physics. This thesis explores the intricate relationship between quantum mechanics and thermodynamics. We tackle the challenge of deriving irreversible thermodynamic behavior from the reversible microscopic framework of quantum mechanics.
  arXiv  Detail & Related papers  (2024-10-24T16:48:24Z)
• Effect of the readout efficiency of quantum measurement on the system entanglement [44.99833362998488]
  We quantify the entanglement for a particle on a 1d quantum random walk under inefficient monitoring. We find that the system's maximal mean entanglement at the measurement-induced quantum-to-classical crossover is in different ways by the measurement strength and inefficiency.
  arXiv  Detail & Related papers  (2024-02-29T18:10:05Z)
• Quantum thermodynamic uncertainty relation under feedback control [1.9580473532948401]
  We explore how quantum feedback, a control technique used to manipulate quantum systems, can enhance the precision. We find that the presence of feedback control can increase the accuracy of continuous measured systems.
  arXiv  Detail & Related papers  (2023-12-12T16:27:18Z)
• Quantum data learning for quantum simulations in high-energy physics [55.41644538483948]
  We explore the applicability of quantum-data learning to practical problems in high-energy physics. We make use of ansatz based on quantum convolutional neural networks and numerically show that it is capable of recognizing quantum phases of ground states. The observation of non-trivial learning properties demonstrated in these benchmarks will motivate further exploration of the quantum-data learning architecture in high-energy physics.
  arXiv  Detail & Related papers  (2023-06-29T18:00:01Z)
• Unraveling the Mystery of Quantum Measurement with A New Space-Time Approach to Relativistic Quantum Mechanics [9.116661570248171]
  Quantum measurement is a fundamental concept in the field of quantum mechanics. Despite its significance, four fundamental issues continue to pose significant challenges to the broader application of quantum measurement. We employ a new space-time approach to relativistic quantum mechanics to address these issues systematically.
  arXiv  Detail & Related papers  (2023-06-01T13:25:08Z)
• Nonequilibrium thermodynamics of quantum coherence beyond linear response [0.0]
  We develop a generic dynamic-Bayesian-network approach to the far-from-equilibrium thermodynamics of coherence. We obtain criteria for successful coherence-to-work conversion, and identify a nonequilibrium regime where maximum work extraction is increased by quantum coherence.
  arXiv  Detail & Related papers  (2023-01-31T10:24:15Z)
• 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)
• Toward Quantum Computing Phase Diagrams of Gauge Theories with Thermal Pure Quantum States [0.0]
  We propose a generalization of thermal-pure-quantum-state formulation of statistical mechanics applied to constrained gauge-theory dynamics. We numerically demonstrate that the phase diagram of a simple low-dimensional gauge theory is robustly determined using this approach.
  arXiv  Detail & Related papers  (2022-08-28T01:26:10Z)
• Demonstrating Quantum Microscopic Reversibility Using Coherent States of Light [58.8645797643406]
  We propose and experimentally test a quantum generalization of the microscopic reversibility when a quantum system interacts with a heat bath. We verify that the quantum modification for the principle of microscopic reversibility is critical in the low-temperature limit.
  arXiv  Detail & Related papers  (2022-05-26T00:25:29Z)
• Gauge Quantum Thermodynamics of Time-local non-Markovian Evolutions [77.34726150561087]
  We deal with a generic time-local non-Markovian master equation. We define current and power to be process-dependent as in classical thermodynamics. Applying the theory to quantum thermal engines, we show that gauge transformations can change the machine efficiency.
  arXiv  Detail & Related papers  (2022-04-06T17:59:15Z)
• Engineered Dissipation for Quantum Information Science [0.0]
  Dissipation is an essential tool for manipulating quantum information. Dissipation engineering enables quantum measurement, quantum state preparation, and quantum state stabilization.
  arXiv  Detail & Related papers  (2022-02-10T19:00:01Z)
• 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)
• Experimental verification of fluctuation relations with a quantum computer [68.8204255655161]
  We use a quantum processor to experimentally validate a number of theoretical results in non-equilibrium quantum thermodynamics. Our experiments constitute the experimental basis for the understanding of the non-equilibrium energetics of quantum computation.
  arXiv  Detail & Related papers  (2021-06-08T14:16:12Z)
• Taking the temperature of a pure quantum state [55.41644538483948]
  Temperature is a deceptively simple concept that still raises deep questions at the forefront of quantum physics research. We propose a scheme to measure the temperature of such pure states through quantum interference.
  arXiv  Detail & Related papers  (2021-03-30T18:18:37Z)
• 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)
• Coherences and the thermodynamic uncertainty relation: Insights from quantum absorption refrigerators [6.211723927647019]
  We examine the interplay of quantum system coherences and heat current fluctuations on the validity of the thermodynamics uncertainty relation in the quantum regime. Our results indicate that fluctuations necessitate consideration when assessing the performance of quantum coherent thermal machines.
  arXiv  Detail & Related papers  (2020-11-30T03:15:27Z)
• Maximal entropy approach for quantum state tomography [3.6344381605841187]
  Current quantum computing devices are noisy intermediate-scale quantum $($NISQ$)$ devices. Quantum tomography tries to reconstruct a quantum system's density matrix by a complete set of observables. We propose an alternative approach to quantum tomography, based on the maximal information entropy, that can predict the values of unknown observables.
  arXiv  Detail & Related papers  (2020-09-02T04:39:45Z)
• 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)
• Simulation of Thermal Relaxation in Spin Chemistry Systems on a Quantum Computer Using Inherent Qubit Decoherence [53.20999552522241]
  We seek to take advantage of qubit decoherence as a resource in simulating the behavior of real world quantum systems. We present three methods for implementing the thermal relaxation. We find excellent agreement between our results, experimental data, and the theoretical prediction.
  arXiv  Detail & Related papers  (2020-01-03T11:48:11Z)

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.