Broadcasting Quantum Information using Finite Resources

• URL: http://arxiv.org/abs/2403.07660v1
• Date: Tue, 12 Mar 2024 13:50:01 GMT
• Title: Broadcasting Quantum Information using Finite Resources
• Authors: Tiago Debarba, Marcus Huber and Nicolai Friis
• Abstract summary: Measurements can be viewed as interactions between systems and specifically prepared pointers. We consider the problem of unitarily distributing this information to several quantum memories. We show that the accuracy of this broadcasting process is limited by thermodynamic restrictions on preparing the memories in pure states.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Measurements can be viewed as interactions between systems and specifically prepared pointers. Ideally, these interactions create accurate copies of the information corresponding to the diagonal of the system's density operator with respect to the measurement basis. However, establishing measurement outcomes as objective facts requires redundancy. We therefore consider the problem of unitarily distributing this information to several quantum memories. We show that the accuracy of this broadcasting process is limited by thermodynamic restrictions on preparing the memories in pure states: ideal broadcasting is impossible using finite resources. For finite-temperature memories we put forward a lower bound on the entropy production of the broadcasting process. This Holevo-Landauer bound demonstrates that the mixedness of the initial memory limits the ability to accurately broadcast information to more than one memory component, thus fundamentally restricting the creation of redundancies while maintaining the integrity of the original information. Finally, we show how the full information can be recovered in the classical limit -- via coarse-graining or asymptotically as the number of subsystems of each memory component increases -- thus elucidating how objective properties can emerge despite inherent imperfections.

Related papers

• Curse of Slicing: Why Sliced Mutual Information is a Deceptive Measure of Statistical Dependence [45.24347017854392]
  Sliced Mutual Information (SMI) is widely used as a scalable alternative to mutual information for measuring non-linear statistical dependence.<n>We show that SMI saturates easily, fails to detect increases in statistical dependence, prioritizes redundancy over informative content, and in some cases, performs worse than simpler dependence measures like the correlation coefficient.
  arXiv  Detail & Related papers  (2025-06-04T15:18:12Z)
• Device-independent secure correlations in sequential quantum scenarios [44.99833362998488]
  Device-independent quantum information is attracting significant attention, particularly for its applications in information security. We propose a systematic approach to designing sequential quantum protocols for device-independent security. We analytically prove that, with this systematic construction, the resulting ideal correlations are secure in the sense that they cannot be reproduced as a statistical mixture of other correlations.
  arXiv  Detail & Related papers  (2025-03-18T16:45:20Z)
• Quantum information scrambling in adiabatically-driven critical systems [49.1574468325115]
  Quantum information scrambling refers to the spread of the initially stored information over many degrees of freedom of a quantum many-body system. Here, we extend the notion of quantum information scrambling to critical quantum many-body systems undergoing an adiabatic evolution.
  arXiv  Detail & Related papers  (2024-08-05T18:00:05Z)
• Density Estimation via Binless Multidimensional Integration [45.21975243399607]
  We introduce the Binless Multidimensional Thermodynamic Integration (BMTI) method for nonparametric, robust, and data-efficient density estimation. BMTI estimates the logarithm of the density by initially computing log-density differences between neighbouring data points. The method is tested on a variety of complex synthetic high-dimensional datasets, and is benchmarked on realistic datasets from the chemical physics literature.
  arXiv  Detail & Related papers  (2024-07-10T23:45:20Z)
• Extracting Training Data from Unconditional Diffusion Models [76.85077961718875]
  diffusion probabilistic models (DPMs) are being employed as mainstream models for generative artificial intelligence (AI) We aim to establish a theoretical understanding of memorization in DPMs with 1) a memorization metric for theoretical analysis, 2) an analysis of conditional memorization with informative and random labels, and 3) two better evaluation metrics for measuring memorization. Based on the theoretical analysis, we propose a novel data extraction method called textbfSurrogate condItional Data Extraction (SIDE) that leverages a trained on generated data as a surrogate condition to extract training data directly from unconditional diffusion models.
  arXiv  Detail & Related papers  (2024-06-18T16:20:12Z)
• Efficiently Cooling Quantum Systems with Finite Resources: Insights from Thermodynamic Geometry [0.0]
  Landauer's universal limit on heat dissipation during information erasure becomes increasingly crucial as computing devices shrink. For this, Nernst's third law posits an infinite-resource requirement: either energy, time, or control complexity must diverge. Here, we address the practical challenge of efficiently cooling quantum systems using finite resources.
  arXiv  Detail & Related papers  (2024-04-09T22:57:42Z)
• Exact asymptotics of long-range quantum correlations in a nonequilibrium steady state [0.0]
  We analytically study the scaling of quantum correlation measures on a one-dimensional containing a noninteracting impurity. We derive the exact form of the subleading logarithmic corrections to the extensive terms of correlation measures. This echoes the case of equilibrium states, where such logarithmic terms may convey universal information about the physical system.
  arXiv  Detail & Related papers  (2023-10-25T18:00:48Z)
• Bayesian inference of composition-dependent phase diagrams [47.79947989845143]
  We develop a method in which Bayesian inference is employed to combine thermodynamic data from molecular dynamics (MD), melting point simulations, and phonon calculations, process these data, and yield a temperature-concentration phase diagram. The developed algorithm was successfully tested on two binary systems, Ge-Si and K-Na, in the full range of concentrations and temperatures.
  arXiv  Detail & Related papers  (2023-09-03T20:57:10Z)
• Realism and causality imply information erasure by measurements [0.9208007322096533]
  A projective measurement cannot decrease the uncertainty on the system if the outcome is ignored. We show that this property is not inherited by a faithful classical causal simulation of a measurement process. In the simulation, a measurement erases previous information by performing a partial reset on the system.
  arXiv  Detail & Related papers  (2023-07-06T17:00:04Z)
• Evolution of many-body systems under ancilla quantum measurements [58.720142291102135]
  We study the concept of implementing quantum measurements by coupling a many-body lattice system to an ancillary degree of freedom. We find evidence of a disentangling-entangling measurement-induced transition as was previously observed in more abstract models.
  arXiv  Detail & Related papers  (2023-03-13T13:06:40Z)
• Measurement-altered Ising quantum criticality [6.436344983789632]
  We show that measurements can alter long-distance correlations in a manner dependent on the choice of entangling gate, ancilla measurement basis, measurement outcome, and nature of ancilla correlations. We also identify two strategies for detecting measurement-altered Ising criticality in measurement-averaged quantities.
  arXiv  Detail & Related papers  (2023-02-08T20:40:26Z)
• Full counting statistics as probe of measurement-induced transitions in the quantum Ising chain [62.997667081978825]
  We show that local projective measurements induce a modification of the out-of-equilibrium probability distribution function of the local magnetization. In particular we describe how the probability distribution of the former shows different behaviour in the area-law and volume-law regimes.
  arXiv  Detail & Related papers  (2022-12-19T12:34:37Z)
• Refrigeration via purification through repeated measurements [0.0]
  We design a measurement-based quantum refrigerator with an arbitrary number of qubits situated in a one-dimensional array. The method proposed is based on repeated evolution followed by a measurement on the single accessible qubit. We show that the number of subsystems which can be cooled changes depending on the odd or even number of sites in the refrigerator.
  arXiv  Detail & Related papers  (2022-06-01T17:09:54Z)
• The nonequilibrium cost of accurate information processing [4.654827623279547]
  We establish a fundamental limit on the accuracy achievable with a given amount of nonequilibrium resources. The limit applies to arbitrary information processing tasks and arbitrary information processing systems subject to the laws of quantum mechanics. As an application, we establish the optimal tradeoff between nonequilibrium and accuracy for the fundamental tasks of storing, transmitting, cloning, and erasing information.
  arXiv  Detail & Related papers  (2022-03-17T14:54:06Z)
• Shannon theory beyond quantum: information content of a source [68.8204255655161]
  We extend the definition of information content to operational probabilistic theories. We prove relevant properties as the subadditivity, and the relation between purity and information content of a state.
  arXiv  Detail & Related papers  (2021-12-23T16:36:06Z)
• A Memory Hierarchy for Many-Body Localization: Emulating the Thermodynamic Limit [0.0]
  Local memory is the ability to extract information from a subsystem about its initial state. We introduce, investigate, and compare several information-theoretic quantifications of memory. We suggest that one can emulate the thermodynamic limit by artifically decohering otherwise quantum quantities.
  arXiv  Detail & Related papers  (2021-11-01T18:00:02Z)
• Quantum verification and estimation with few copies [63.669642197519934]
  The verification and estimation of large entangled systems represents one of the main challenges in the employment of such systems for reliable quantum information processing. This review article presents novel techniques focusing on a fixed number of resources (sampling complexity) and thus prove suitable for systems of arbitrary dimension. Specifically, a probabilistic framework requiring at best only a single copy for entanglement detection is reviewed, together with the concept of selective quantum state tomography.
  arXiv  Detail & Related papers  (2021-09-08T18:20:07Z)
• BayesIMP: Uncertainty Quantification for Causal Data Fusion [52.184885680729224]
  We study the causal data fusion problem, where datasets pertaining to multiple causal graphs are combined to estimate the average treatment effect of a target variable. We introduce a framework which combines ideas from probabilistic integration and kernel mean embeddings to represent interventional distributions in the reproducing kernel Hilbert space.
  arXiv  Detail & Related papers  (2021-06-07T10:14:18Z)
• Information-Theoretic Memory Scaling in the Many-Body Localization Transition [68.8204255655161]
  We study the understanding of local memory in the context of many-body localization. We introduce the dynamical Holevo quantity as the true quantifier of local memory. We find clear scaling behavior in its steady-state across the many-body localization transition.
  arXiv  Detail & Related papers  (2020-09-09T18:00:01Z)
• Quantifying Information Extraction using Generalized Quantum Measurements [0.0]
  We show that the same properties hold even when considering generalized measurements. Observational entropy is a well-defined quantifier determining how influential a given series of measurements is in information extraction. We discuss observational entropy as a tool for quantum state inference.
  arXiv  Detail & Related papers  (2020-07-11T07:31:25Z)
• Quantum fluctuations hinder finite-time information erasure near the Landauer limit [0.0]
  We show that quantum coherence generated in the energy eigenbasis of a system undergoing a finite-time information erasure protocol yields rare events with extreme dissipation.
  arXiv  Detail & Related papers  (2020-07-03T18:00:21Z)
• Dissipative Adiabatic Measurements: Beating the Quantum Cram\'{e}r-Rao Bound [0.0]
  It is challenged only recently that the precision attainable in any measurement of a physical parameter is fundamentally limited by the quantum Cram'er-Rao Bound (QCRB) Here, we propose an innovative measurement scheme called it dissipative adiabatic measurement and theoretically show that it can beat the QCRB.
  arXiv  Detail & Related papers  (2020-02-03T03:47:55Z)

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.