Purification of Noisy Measurements and Faithful Distillation of Entanglement

• URL: http://arxiv.org/abs/2404.10538v3
• Date: Tue, 07 Jan 2025 07:34:06 GMT
• Title: Purification of Noisy Measurements and Faithful Distillation of Entanglement
• Authors: Jaemin Kim, Jiyoung Yun, Joonwoo Bae,
• Abstract summary: We consider entanglement distillation with noisy operations in which quantum measurements that constitute a general quantum operation are particularly noisy. We present a protocol for purifying noisy measurements and show that imperfect local operations can distill entanglement.
• Score: 8.525175733082781
• License:
• Abstract: We consider entanglement distillation with noisy operations in which quantum measurements that constitute a general quantum operation are particularly noisy. We present a protocol for purifying noisy measurements and show that imperfect local operations can distill entanglement. The protocol works for arbitrary noisy measurements in general and is cost-effective and resource-efficient with single additional qubit per party to resolve the distillation of entanglement. The purification protocol is feasible with currently available quantum technologies and readily applied to entanglement applications.

Related papers

• Disti-Mator: an entanglement distillation-based state estimator [0.3769303106863453]
  Minimizing experimental effort and consumption of valuable quantum resources in state estimation is vital in practical quantum information processing. We show that the Bell-diagonal parameters of any undistilled state can be efficiently estimated solely from the measurement statistics of probabilistic distillation protocols.
  arXiv  Detail & Related papers  (2024-06-20T02:10:04Z)
• Noise estimation in an entanglement distillation protocol [0.3958317527488534]
  Estimating noise processes is an essential step for practical quantum information processing. We consider states of the Werner form and find that the Werner parameter can be estimated efficiently from the measurement statistics of an idealized distillation protocol.
  arXiv  Detail & Related papers  (2024-02-14T04:03:20Z)
• Performance of entanglement purification including maximally entangled mixed states [0.0]
  Entanglement between distant quantum systems is a critical resource for implementing quantum communication. We propose an entanglement purification protocol based on two entangling two-qubit operations. Two variants of the core protocol are introduced and shown to be more practical in certain scenarios.
  arXiv  Detail & Related papers  (2024-02-06T18:34:34Z)
• 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)
• The power of noisy quantum states and the advantage of resource dilution [62.997667081978825]
  Entanglement distillation allows to convert noisy quantum states into singlets. We show that entanglement dilution can increase the resilience of shared quantum states to local noise.
  arXiv  Detail & Related papers  (2022-10-25T17:39:29Z)
• Suppressing Amplitude Damping in Trapped Ions: Discrete Weak Measurements for a Non-unitary Probabilistic Noise Filter [62.997667081978825]
  We introduce a low-overhead protocol to reverse this degradation. We present two trapped-ion schemes for the implementation of a non-unitary probabilistic filter against amplitude damping noise. This filter can be understood as a protocol for single-copy quasi-distillation.
  arXiv  Detail & Related papers  (2022-09-06T18:18:41Z)
• Data post-processing for the one-way heterodyne protocol under composable finite-size security [62.997667081978825]
  We study the performance of a practical continuous-variable (CV) quantum key distribution protocol. We focus on the Gaussian-modulated coherent-state protocol with heterodyne detection in a high signal-to-noise ratio regime. This allows us to study the performance for practical implementations of the protocol and optimize the parameters connected to the steps above.
  arXiv  Detail & Related papers  (2022-05-20T12:37:09Z)
• Quantum key distribution over noisy channels by the testing state method [0.0]
  This paper aims to study QKD over noisy channels including Pauli noises. We provide a method, called the testing state method, to implement QKD protocols without errors over arbitrarily strength noisy channels.
  arXiv  Detail & Related papers  (2021-07-05T12:10:11Z)
• Entanglement purification by counting and locating errors with entangling measurements [62.997667081978825]
  We consider entanglement purification protocols for multiple copies of qubit states. We use high-dimensional auxiliary entangled systems to learn about number and positions of errors in the noisy ensemble.
  arXiv  Detail & Related papers  (2020-11-13T19:02:33Z)
• Entanglement-assisted entanglement purification [62.997667081978825]
  We present a new class of entanglement-assisted entanglement purification protocols that can generate high-fidelity entanglement from noisy, finite-size ensembles. Our protocols can deal with arbitrary errors, but are best suited for few errors, and work particularly well for decay noise.
  arXiv  Detail & Related papers  (2020-11-13T19:00:05Z)
• Scalable quantum processor noise characterization [57.57666052437813]
  We present a scalable way to construct approximate MFMs for many-qubit devices based on cumulant expansion. Our method can also be used to characterize various types of correlation error.
  arXiv  Detail & Related papers  (2020-06-02T17:39:42Z)

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.