Revocation and Reconstruction of Shared Quantum States

• URL: http://arxiv.org/abs/2511.05212v2
• Date: Mon, 10 Nov 2025 03:48:00 GMT
• Title: Revocation and Reconstruction of Shared Quantum States
• Abstract summary: We show an independent way to revoke, if, for any reason, the dealer is not sure about the intention of the reconstructor.<n>We further consider a class of four qubit pure entangled states as resource and explicitly find the range of parameters for which the protocol will be successful.
• Score: 0.0
• License: http://creativecommons.org/publicdomain/zero/1.0/
• Abstract: The problem of revocation of quantum states after sharing is interesting and we ask: Is it possible for a dealer to revoke the state once shared, before the reconstruction process? Additional resources like bell states are used to help the dealer to get back the state. In a three-party scenario, we show an independent way to revoke, if, for any reason, the dealer is not sure about the intention of the/any reconstructor. In general, the classical outcomes of the dealer in sharing phase are needed, to be able to reconstruct the state perfectly. When both the shareholders are dishonest, and without the dealer's knowledge, collude to reconstruct, they always have some chance of succeeding. This is addressed by giving more control to the dealer by making him/her) to have a quantum share as well. We give a sharing and revocation protocol with a four-qubit entangled resource shared among three parties (two qubits with the dealer and one each with the shareholders). We further consider a class of four qubit pure entangled states as resource and explicitly find the range of parameters for which the protocol will be successful.

Related papers

• Second Law of Entanglement Manipulation with Entanglement Battery [41.94295877935867]
  A central question since the beginning of quantum information science is how two distant parties can convert one entangled state into another.<n>It has been conjectured that such conversions could be executed reversibly in an regime, mirroring the reversible nature of Carnot cycles in classical thermodynamics.<n>We show that arbitrary mixed state entanglement transformations can be made under local operations and classical reversible communication.
  arXiv  Detail & Related papers  (2024-05-17T07:55:04Z)
• Maximal Secret Reconstruction, Teleportation and Bell's Inequality [0.0]
  We characterize a secret shareable state in a pure three-qubit system. We find that all secret shareable states satisfy Bell's inequality in both dealer--reconstructor and dealer--assistant partitions.
  arXiv  Detail & Related papers  (2024-04-01T16:10:25Z)
• When quantum memory is useful for dense coding [45.41082277680607]
  We discuss dense coding with $n$ copies of a specific preshared state between the sender and the receiver. We investigate what preshared state offers an advantage of using quantum memory on the receiver's side.
  arXiv  Detail & Related papers  (2023-06-20T02:04:29Z)
• 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)
• Controlled State Reconstruction and Quantum Secret Sharing [0.0]
  We present a benchmark for resource characterization in the process of controlled quantum state reconstruction and secret sharing. We formulate the idea of quantum advantage in approximate state reconstruction as surpassing the classical limit set at 2/3. This article brings out new interoperability between teleportation and state reconstruction.
  arXiv  Detail & Related papers  (2023-05-10T11:30:30Z)
• Probabilistic pure state conversion on the majorization lattice [0.0]
  Entanglement is among the most fundamental-and at the same time puzzling-properties of quantum physics. We show that the majorization lattice provides an efficient framework in order to characterize the allowed transformations of pure entangled states.
  arXiv  Detail & Related papers  (2023-03-17T16:10:50Z)
• Is there a finite complete set of monotones in any quantum resource theory? [39.58317527488534]
  We show that there does not exist a finite set of resource monotones which completely determines all state transformations. We show that totally ordered theories allow for free transformations between all pure states.
  arXiv  Detail & Related papers  (2022-12-05T18:28:36Z)
• 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)
• Revocation and Reconstruction of Shared Quantum Secrets [0.5735035463793007]
  In existing protocols there are no means by which the dealer can retrieve back the secret once he/she finds all the share holders to be semi-honest. In this work, we explicitly deal with shareholders who are semi-honest and not dishonest. Our protocol makes a significant advancement in solving this problem by designing strategy in bringing back the secret in the worst possible situation.
  arXiv  Detail & Related papers  (2021-12-31T17:08:12Z)
• Stochastic approximate state conversion for entanglement and general quantum resource theories [41.94295877935867]
  An important problem in any quantum resource theory is to determine how quantum states can be converted into each other. Very few results have been presented on the intermediate regime between probabilistic and approximate transformations. We show that these bounds imply an upper bound on the rates for various classes of states under probabilistic transformations. We also show that the deterministic version of the single copy bounds can be applied for drawing limitations on the manipulation of quantum channels.
  arXiv  Detail & Related papers  (2021-11-24T17:29:43Z)
• 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)
• 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)
• Quantum secret sharing using GHZ state qubit positioning and selective qubits strategy for secret reconstruction [4.378411442784295]
  The work presents a novel quantum secret sharing strategy based on GHZ product state sharing between three parties. Unlike the other protocols, this protocol does not involve the entire initial state reconstruction, rather uses selective qubits to discard the redundant qubits at the time of reconstruction to decrypt the secret. The protocol also allows for security against malicious attacks by an adversary without affecting the integrity of the secret.
  arXiv  Detail & Related papers  (2020-02-21T08:45:07Z)

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.