No-deleting principle for two unitary copies

• URL: http://arxiv.org/abs/2606.24522v1
• Date: Tue, 23 Jun 2026 12:54:18 GMT
• Title: No-deleting principle for two unitary copies
• Abstract summary: Pati and Braunstein defined a deleting machine and showed the impossibility of deleting one of two identical copies of an unknown quantum state.<n>We show that it is impossible to delete one of two unitary copies of an unknown state.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Pati and Braunstein defined a deleting machine and showed the impossibility of deleting one of two identical copies of an unknown quantum state. So far, no one has defined two non-identical copies of a quantum state, of course no one has discussed the impossibility of deleting one of two non-identical copies of an unknown quantum state. In this paper, we define $u|ψ>$ and $U|ψ>$, where $u$ and $U$ are any unitary operators, as two unitary copies of a quantum state $|ψ>$, and show that it is impossible to delete one of two unitary copies of an unknown state.

Related papers

• Nonorthogonal-state erasure as the resource behind apparent second-law violations [2.9573669546742245]
  Perfect deterministic distinguishing of nonorthogonal quantum states is forbidden by the linear and unitary structure of quantum mechanics.<n>It has often been assumed that, if such distinguishing were available, it would be the resource enabling work extraction from a single heat bath.<n>We show that this expectation identifies the wrong thermodynamic operation and prove such hypothetical operation increases, rather than decreases, the joint entropy of system and detector.
  arXiv  Detail & Related papers  (2026-08-14T02:13:11Z)
• Quantum state exclusion with many copies [18.6184930294792]
  We show that for any set of three or more pure states, state exclusion becomes possible with a finite number of copies.<n>We further show that the required number of copies may be arbitrarily large -- in particular, for every natural number $N$, we construct sets of states for which exclusion remains impossible with $N$ or fewer copies.
  arXiv  Detail & Related papers  (2026-01-20T19:15:41Z)
• Uniqueness of purifications is equivalent to Haag duality [44.33169165028139]
  We show that, if the two systems are modelled by commuting von algebra Neumanns $M_A$ and $M_B$ on a Hilbert space $mathcal H$, uniqueness of purifications is equivalent to Haag duality $M_A = M_B'$.
  arXiv  Detail & Related papers  (2025-09-16T10:05:17Z)
• The Entropy Characterization of Quantum MDS Codes [38.352346029258385]
  The entropy of the joint state of the reference system of $k$ qudits and the $n$ coded qudits is fully characterized.
  arXiv  Detail & Related papers  (2025-05-26T11:03:13Z)
• Quantum $(r,δ)$-locally recoverable codes [37.306043163932905]
  We introduce the quantum counterpart of those codes by defining quantum $(r,delta)$-locally recoverable codes.<n>We show that there is an equivalence between the classical and quantum concepts of $(r,delta)$-local recoverability.
  arXiv  Detail & Related papers  (2024-12-21T11:45:32Z)
• Comment on "Multiparty quantum mutual information: An alternative definition" [0.0]
  We show that, contrary to the claim by Kumar [Phys. Rev. A 96, 012332], the quantum dual total correlation of an $n$-partite quantum state cannot be represented. We argue that the latter fails to yield a finite value for generalized $n$-partite Greenberger-Horne-Zeilinger states.
  arXiv  Detail & Related papers  (2023-12-30T13:04:11Z)
• Duality between open systems and closed bilayer systems, and thermofield double states as quantum many-body scars [49.1574468325115]
  We find a duality between open many-body systems governed by the Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) equation. Under this duality, the identity operator on the open system side maps to the thermofield double state. We identify broad classes of many-body open systems with nontrivial explicit eigen operators $Q$ of the Lindbladian superoperator.
  arXiv  Detail & Related papers  (2023-04-06T15:38:53Z)
• A Computational Separation Between Quantum No-cloning and No-telegraphing [9.520158869896395]
  Two of the fundamental no-go theorems of quantum information are the no-cloning theorem and the no-teleportation theorem. We give a collection of quantum states and quantum oracles relative to which these states are efficiently clonable but not efficiently telegraphable. We show how such states can be used to protect against key exfiltration.
  arXiv  Detail & Related papers  (2023-02-03T17:05:38Z)
• Experimental demonstration of optimal unambiguous two-out-of-four quantum state elimination [52.77024349608834]
  A core principle of quantum theory is that non-orthogonal quantum states cannot be perfectly distinguished with single-shot measurements. Here we implement a quantum state elimination measurement which unambiguously rules out two of four pure, non-orthogonal quantum states.
  arXiv  Detail & Related papers  (2022-06-30T18:00:01Z)
• 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)
• Quantum Proofs of Deletion for Learning with Errors [91.3755431537592]
  We construct the first fully homomorphic encryption scheme with certified deletion. Our main technical ingredient is an interactive protocol by which a quantum prover can convince a classical verifier that a sample from the Learning with Errors distribution in the form of a quantum state was deleted.
  arXiv  Detail & Related papers  (2022-03-03T10:07:32Z)
• Separability and entanglement in superpositions of quantum states [0.0]
  We study the superpositions of a pure entangled state and a pure product state, when the amplitudes corresponding to the states appearing in any superposition are nonzero. All such superpositions produce only entangled states if the initial entangled state has Schmidt rank three or higher. We find that conditional inseparability of superpositions help in identifying strategies for conclusive local discrimination of shared quantum ensembles.
  arXiv  Detail & Related papers  (2021-08-04T19:48:29Z)
• Quantum deleting and cloning in a pseudo-unitary system [20.489044283783358]
  We investigate the quantum deleting and cloning in a pseudo-unitary system. We show that it is possible to delete and clone a class of two different and nonorthogonal states. We simulate the pseudo-unitary operators in conventional quantum mechanics with post-selection.
  arXiv  Detail & Related papers  (2021-03-29T05:59:27Z)
• Quantum Discrimination of Two Noisy Displaced Number States [68.2727599930504]
  We first consider the quantum discrimination of two noiseless displaced number states. We then address the problem of discriminating between two noisy displaced number states.
  arXiv  Detail & Related papers  (2020-12-09T16:56:16Z)

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.