Efficient multipartite entanglement purification with non-identical states

• URL: http://arxiv.org/abs/2311.10250v1
• Date: Fri, 17 Nov 2023 00:44:13 GMT
• Title: Efficient multipartite entanglement purification with non-identical states
• Authors: Hao Qin, Ming-Ming Du, Xi-Yun Li, Wei Zhong, Lan Zhou, Yu-Bo Sheng
• Abstract summary: We present an efficient and general multipartite entanglement purification protocol (MEPP) for N-photon systems. As a branch of entanglement purification, the recurrence MEPP actually has the reusable discarded items which are usually regarded as a failure. With these approaches, this MEPP has a higher efficiency than all previous MEPPs and it may have potential applications in the future long-distance quantum communications and networks.
• Score: 6.2232032887310345
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We present an efficient and general multipartite entanglement purification protocol (MEPP) for N-photon systems in Greenberger-Horne-Zeilinger (GHZ) states with non-identical input states. As a branch of entanglement purification, besides the cases of successful purification, the recurrence MEPP actually has the reusable discarded items which are usually regarded as a failure. Our protocol contains two parts for bit-flip error correction. The first one is the conventional MEPP, corresponding successful cases. The second one includes two efficient approaches, recycling purification with entanglement link and direct residual entanglement purification, that can utilize discarded items. We also make a comparison between two approaches. Which method to use depends on initial input states, and in most cases the approach of direct residual purification is optimal for it not only may obtain a higher fidelity entangled state but also it does not require additional sophisticated links. In addition, for phase-flip errors, the discarded items still have available residual entanglement in the case of different input states. With these approaches, this MEPP has a higher efficiency than all previous MEPPs and it may have potential applications in the future long-distance quantum communications and networks.

Related papers

• Low-Fidelity Entanglement Distillation with FIMAX [0.016385815610837167]
  entanglement distillation is the transformation of multiple copies of weakly entangled states into a smaller number of maximally entangled states. We present a comparative analysis of the stabilizer-based two-copy entanglement distillation protocol, FIMAX. Our findings demonstrate that FIMAX exhibits superior performance for low-fidelity bipartite quantum states.
  arXiv  Detail & Related papers  (2025-02-13T12:20:07Z)
• 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)
• Training iterated protocols for distillation of GHZ states with variational quantum algorithms [0.0]
  We present optimized distillation schemes for preparing Greenberger-Horne-Zeilinger (GHZ) states. We find that it is possible to achieve an increased fidelity to the GHZ state, although further iterations decrease the fidelity. The schemes can also correct several types of coherent pure-state errors.
  arXiv  Detail & Related papers  (2023-11-08T12:44:49Z)
• 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)
• Stochastic Optimal Control for Collective Variable Free Sampling of Molecular Transition Paths [60.254555533113674]
  We consider the problem of sampling transition paths between two given metastable states of a molecular system. We propose a machine learning method for sampling said transitions.
  arXiv  Detail & Related papers  (2022-06-27T14:01:06Z)
• Efficient Bipartite Entanglement Detection Scheme with a Quantum Adversarial Solver [89.80359585967642]
  Proposal reformulates the bipartite entanglement detection as a two-player zero-sum game completed by parameterized quantum circuits. We experimentally implement our protocol on a linear optical network and exhibit its effectiveness to accomplish the bipartite entanglement detection for 5-qubit quantum pure states and 2-qubit quantum mixed states.
  arXiv  Detail & Related papers  (2022-03-15T09:46:45Z)
• High-efficient two-step entanglement purification using hyperentanglement [0.10878040851637998]
  Entanglement purification is a powerful method to distill the high-quality entanglement from low-quality entanglement. We propose an efficient two-step entanglement purification protocol (EPP) for the polarization entanglement. Taking use of the residual entanglement, the parties may still distill higher-quality polarization entanglement.
  arXiv  Detail & Related papers  (2021-01-22T08:52:50Z)
• High efficient multipartite entanglement purification using hyperentanglement [6.887504495088555]
  Multipartite entanglement plays an important role in controlled quantum teleportation. We present an efficient multipartite entanglement purification protocol (EPP) which can distill the high quality entangled states.
  arXiv  Detail & Related papers  (2021-01-22T02:06:37Z)
• 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)
• Efficient and robust certification of genuine multipartite entanglement in noisy quantum error correction circuits [58.720142291102135]
  We introduce a conditional witnessing technique to certify genuine multipartite entanglement (GME) We prove that the detection of entanglement in a linear number of bipartitions by a number of measurements scales linearly, suffices to certify GME. We apply our method to the noisy readout of stabilizer operators of the distance-three topological color code and its flag-based fault-tolerant version.
  arXiv  Detail & Related papers  (2020-10-06T18:00:07Z)

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.