Distillation of multipartite entangled states for arbitrary subsets of parties in noisy quantum networks of increasing size

• URL: http://arxiv.org/abs/2505.15676v1
• Date: Wed, 21 May 2025 15:54:38 GMT
• Title: Distillation of multipartite entangled states for arbitrary subsets of parties in noisy quantum networks of increasing size
• Authors: Aitor Balmaseda, Julio I. de Vicente,
• Abstract summary: Quantum network states are multipartite states built from distributing pairwise entanglement among parties.<n>We show that partial distillability is indeed possible if certain well-established graph-theoretic parameters that measure the connectivity in the network grow fast enough with its size.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum network states are multipartite states built from distributing pairwise entanglement among parties and underpin the paradigm of quantum networks for quantum information processing. In this work we introduce the problem of partial distillability in noisy quantum networks. This corresponds to the possibility of creating locally starting from a single copy of a quantum network state with mixed entangled links supporting a constant amount of noise an arbitrary pure state for an arbitrary subset of parties with fidelity as close to 1 as desired as the size of the network increases. While we prove an obstruction to multipartite distillation protocols after teleportation with channels with constant noise, we show that partial distillability is indeed possible if certain well-established graph-theoretic parameters that measure the connectivity in the network grow fast enough with its size. We give necessary as well as sufficient conditions for partial distillability in terms of these parameters and we moreover provide explicit constructions of networks with partial distillability and a relatively slow connectivity growth.

Related papers

• Exploring the boundary of quantum network states from inside out [5.116241131647859]
  Quantum networks with bipartite resources and shared randomness present the simplest infrastructure for implementing a future quantum internet.<n>We investigate which kinds of entanglement can or cannot be generated from this kind of quantum network by examining their fidelity with different graph states.
  arXiv  Detail & Related papers  (2025-03-12T15:33:50Z)
• Deterministic multipartite entanglement via fractional state transfer across quantum networks [0.0]
  We propose a fractional quantum state transfer, in which the excitation of an emitter is partially transmitted through the quantum communication channel. We show that genuine multipartite entangled states can be faithfully prepared within current experimental platforms.
  arXiv  Detail & Related papers  (2024-08-02T10:59:16Z)
• Guarantees on the structure of experimental quantum networks [105.13377158844727]
  Quantum networks connect and supply a large number of nodes with multi-party quantum resources for secure communication, networked quantum computing and distributed sensing. As these networks grow in size, certification tools will be required to answer questions regarding their properties. We demonstrate a general method to guarantee that certain correlations cannot be generated in a given quantum network.
  arXiv  Detail & Related papers  (2024-03-04T19:00:00Z)
• Scalable multiparty steering based on a single pair of entangled qubits [0.6553834611557042]
  We show that multiparty loophole-free quantum steering is achievable by constructing a quantum network from a set of qubits of which only one pair is entangled. This work introduces a scalable approach to rigorously verify quantum nonlocality across multiple parties, thus providing a practical tool towards developing the future quantum internet.
  arXiv  Detail & Related papers  (2023-08-04T13:01:51Z)
• Quantum-enhanced metrology with network states [8.515162179098382]
  We prove a general bound that limits the performance of using quantum network states to estimate a global parameter. Our work establishes both the limitation and the possibility of quantum metrology within quantum networks.
  arXiv  Detail & Related papers  (2023-07-15T09:46:35Z)
• Multipartite entanglement theory with entanglement-nonincreasing operations [55.2480439325792]
  We extend the resource theory of entanglement for multipartite systems beyond the standard framework of local operations and classical communication.<n>We demonstrate that in this adjusted framework, the transformation rates between multipartite states are fundamentally dictated by the bipartite entanglement entropies of the respective quantum states.
  arXiv  Detail & Related papers  (2023-05-30T12:53:56Z)
• 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)
• Conference key agreement in a quantum network [67.410870290301]
  Quantum conference key agreement (QCKA) allows multiple users to establish a secure key from a shared multi-partite entangled state. In a quantum network, this protocol can be efficiently implemented using a single copy of a N-qubit Greenberger-Horne-Zeilinger (GHZ) state to distil a secure N-user conference key bit.
  arXiv  Detail & Related papers  (2022-07-04T18:00:07Z)
• A scheme for multipartite entanglement distribution via separable carriers [68.8204255655161]
  We develop a strategy for entanglement distribution via separable carriers that can be applied to any number of network nodes. We show that our protocol results in multipartite entanglement, while the carrier mediating the process is always in a separable state with respect to the network.
  arXiv  Detail & Related papers  (2022-06-20T10:50:45Z)
• Entanglement catalysis for quantum states and noisy channels [41.94295877935867]
  We investigate properties of entanglement and its role for quantum communication. For transformations between bipartite pure states, we prove the existence of a universal catalyst. We further develop methods to estimate the number of singlets which can be established via a noisy quantum channel.
  arXiv  Detail & Related papers  (2022-02-10T18:36:25Z)
• Heterogeneous Multipartite Entanglement Purification for Size-Constrained Quantum Devices [68.8204255655161]
  Purifying entanglement resources after their imperfect generation is an indispensable step towards using them in quantum architectures. Here we depart from the typical purification paradigm for multipartite states explored in the last twenty years. We find that smaller sacrificial' states, like Bell pairs, can be more useful in the purification of multipartite states than additional copies of these same states.
  arXiv  Detail & Related papers  (2020-11-23T19:00:00Z)
• Quantum communication capacity transition of complex quantum networks [1.14219428942199]
  For highly connected networks, we identify a threshold transition in the capacity as the density of network nodes increases. For scale-free networks, the end-to-end capacity saturates to constants as the number of nodes increases, and always decays with the distance. Our results are based on capacity evaluations, therefore the minimum density requirement for an appreciable capacity applies to any general protocols of quantum networks.
  arXiv  Detail & Related papers  (2020-11-14T21:42:04Z)
• Genuine Network Multipartite Entanglement [62.997667081978825]
  We argue that a source capable of distributing bipartite entanglement can, by itself, generate genuine $k$-partite entangled states for any $k$. We provide analytic and numerical witnesses of genuine network entanglement, and we reinterpret many past quantum experiments as demonstrations of this feature.
  arXiv  Detail & Related papers  (2020-02-07T13:26:00Z)

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.