Virtual quantum resource distillation: General framework and applications

• URL: http://arxiv.org/abs/2404.13048v1
• Date: Mon, 5 Feb 2024 08:54:27 GMT
• Title: Virtual quantum resource distillation: General framework and applications
• Authors: Ryuji Takagi, Xiao Yuan, Bartosz Regula, Mile Gu,
• Abstract summary: We develop the general framework of virtual resource distillation -- an alternative distillation strategy proposed in [Phys. Rev. Lett. 132, 050203 (2024) The framework is applicable not only to quantum states, but also dynamical quantum objects such as quantum channels and higher-order processes.
• Score: 0.29998889086656577
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We develop the general framework of virtual resource distillation -- an alternative distillation strategy proposed in [Phys. Rev. Lett. 132, 050203 (2024)], which extends conventional quantum resource distillation by integrating the power of classical postprocessing. The framework presented here is applicable not only to quantum states, but also dynamical quantum objects such as quantum channels and higher-order processes. We provide a general characterization and benchmarks for the performance of virtual resource distillation in the form of computable semidefinite programs as well as several operationally motivated quantities. We apply our general framework to various concrete settings of interest, including standard resource theories such as entanglement, coherence, and magic, as well as settings involving dynamical resources such as quantum memory, quantum communication, and non-Markovian dynamics. The framework of probabilistic distillation is also discussed.

Related papers

• Quantum Simulation of Nuclear Dynamics in First Quantization [44.99833362998488]
  We provide the first complete characterization of the resource requirements for studying nuclear dynamics with the full Leading Order (LO) pionless Hamiltonian in first quantization.<n>We find that interesting simulations for low energy nuclear scattering could be achievable with tens of millions of T gates and few hundred logical qubits.
  arXiv  Detail & Related papers  (2025-07-30T16:31:49Z)
• VQC-MLPNet: An Unconventional Hybrid Quantum-Classical Architecture for Scalable and Robust Quantum Machine Learning [50.95799256262098]
  Variational quantum circuits (VQCs) hold promise for quantum machine learning but face challenges in expressivity, trainability, and noise resilience.<n>We propose VQC-MLPNet, a hybrid architecture where a VQC generates the first-layer weights of a classical multilayer perceptron during training, while inference is performed entirely classically.
  arXiv  Detail & Related papers  (2025-06-12T01:38:15Z)
• Unified Framework for Calculating Convex Roof Resource Measures [4.096738674942227]
  We introduce a unified computational framework for a class of widely utilized quantum resource measures, derived from convex roof extensions. We substantiate the efficacy of our method by applying it to several key quantum resources, including entanglement, coherence, and magic states.
  arXiv  Detail & Related papers  (2024-06-28T06:45:58Z)
• Local Purity Distillation in Quantum Systems: Exploring the Complementarity Between Purity and Entanglement [41.94295877935867]
  We introduce and develop the framework of Gibbs-preserving local operations and classical communication.<n>We focus on systems with fully degenerate local Hamiltonians, where local cooling aligns with the extraction of local purity.<n>Our findings open doors to various practical applications, including techniques for entanglement detection and estimation.
  arXiv  Detail & Related papers  (2023-11-20T14:58:31Z)
• Sufficient condition for universal quantum computation using bosonic circuits [44.99833362998488]
  We focus on promoting circuits that are otherwise simulatable to computational universality. We first introduce a general framework for mapping a continuous-variable state into a qubit state. We then cast existing maps into this framework, including the modular and stabilizer subsystem decompositions.
  arXiv  Detail & Related papers  (2023-09-14T16:15:14Z)
• A Framework for Demonstrating Practical Quantum Advantage: Racing Quantum against Classical Generative Models [62.997667081978825]
  We build over a proposed framework for evaluating the generalization performance of generative models. We establish the first comparative race towards practical quantum advantage (PQA) between classical and quantum generative models. Our results suggest that QCBMs are more efficient in the data-limited regime than the other state-of-the-art classical generative models.
  arXiv  Detail & Related papers  (2023-03-27T22:48:28Z)
• Virtual quantum resource distillation [0.29998889086656577]
  Distillation, or purification, is central to the practical use of quantum resources in noisy settings. We show that virtual resource distillation provides considerable advantages over standard notions of distillation. We consider applications to coherence, entanglement, and magic distillation, and an explicit example in quantum teleportation.
  arXiv  Detail & Related papers  (2023-03-02T04:15:52Z)
• High Fidelity Quantum State Transfer by Pontryagin Maximum Principle [68.8204255655161]
  We address the problem of maximizing the fidelity in a quantum state transformation process satisfying the Liouville-von Neumann equation. By introducing fidelity as the performance index, we aim at maximizing the similarity of the final state density operator with the one of the desired target state.
  arXiv  Detail & Related papers  (2022-03-07T13:27:26Z)
• Generalization Metrics for Practical Quantum Advantage in Generative Models [68.8204255655161]
  Generative modeling is a widely accepted natural use case for quantum computers. We construct a simple and unambiguous approach to probe practical quantum advantage for generative modeling by measuring the algorithm's generalization performance. Our simulation results show that our quantum-inspired models have up to a $68 times$ enhancement in generating unseen unique and valid samples.
  arXiv  Detail & Related papers  (2022-01-21T16:35:35Z)
• Quantifying Qubit Magic Resource with Gottesman-Kitaev-Preskill Encoding [58.720142291102135]
  We define a resource measure for magic, the sought-after property in most fault-tolerant quantum computers. Our formulation is based on bosonic codes, well-studied tools in continuous-variable quantum computation.
  arXiv  Detail & Related papers  (2021-09-27T12:56:01Z)
• From geometry to coherent dissipative dynamics in quantum mechanics [68.8204255655161]
  We work out the case of finite-level systems, for which it is shown by means of the corresponding contact master equation. We describe quantum decays in a 2-level system as coherent and continuous processes.
  arXiv  Detail & Related papers  (2021-07-29T18:27:38Z)
• Error mitigation and quantum-assisted simulation in the error corrected regime [77.34726150561087]
  A standard approach to quantum computing is based on the idea of promoting a classically simulable and fault-tolerant set of operations. We show how the addition of noisy magic resources allows one to boost classical quasiprobability simulations of a quantum circuit.
  arXiv  Detail & Related papers  (2021-03-12T20:58:41Z)
• One-shot dynamical resource theory [16.046979670252814]
  We consider tasks of one-shot resource distillation and dilution with a single copy of the resource. For any target of unitary channel or pure state preparation channel, we establish a universal strategy to determine upper and lower bounds on rates that convert between any given resource and the target. Our results are applicable to general dynamical resource theories with potential applications in quantum communication, fault-tolerant quantum computing, and quantum thermodynamics.
  arXiv  Detail & Related papers  (2020-12-04T18:57:42Z)
• One-Shot Manipulation of Dynamical Quantum Resources [0.0]
  We develop a unified framework to characterize one-shot transformations of dynamical quantum resources in terms of resource quantifiers. Our framework encompasses all dynamical resources represented as quantum channels. We show that our conditions become necessary and sufficient for broad classes of important theories.
  arXiv  Detail & Related papers  (2020-12-03T19:09:14Z)
• Framework for resource quantification in infinite-dimensional general probabilistic theories [6.308539010172309]
  Resource theories provide a general framework for the characterization of properties of physical systems in quantum mechanics and beyond. We introduce methods for the quantification of resources in general probabilistic theories (GPTs) We show that a given resource state enables in channel discrimination tasks over all resourceless states. We demonstrate applications of the robustness to several resources of physical relevance: optical nonclassicality, entanglement, genuine non-Gaussianity, and coherence.
  arXiv  Detail & Related papers  (2020-09-23T18:00:20Z)

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.