Masking quantum information in multipartite scenario

Abstract

Recently, Kavan Modi \emph{et al.} found that masking quantum information is impossible in bipartite scenario in [Phys. Rev. Lett. \textbf{120}, 230501 (2018)]. This adds another item of the no-go theorems. In this paper, we present some new schemes different from error correction codes, which show that quantum states can be masked when more participants are allowed in the masking process. Moreover, using a pair of mutually orthogonal Latin squares of dimension $d$, we show that all the $d$ level quantum states can be masked into tripartite quantum systems whose local dimensions are $d$ or $d+1$. This highlight some difference between the no-masking theorem and the classical no-cloning theorem or no-deleting theorem.

6 pages, 0 figure

References in corpus (12)

• Quantum entanglement
• Quantum Cryptography
• Experimental quantum teleportation
• Quantum secret sharing
• How to share a quantum secret
• Unconditionally secure quantum bit commitment is impossible
• Is Quantum Bit Commitment Really Possible?
• Quantum Error Correction
• Absolutely maximally entangled states of seven qubits do not exist
• The maximally entangled set of multipartite quantum states
• Masking quantum information is impossible
• Constructing Mutually Unbiased Bases from Quantum Latin Squares

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• Quantum Information Masking in Non-Hermitian Systems and Robustness
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• Quantum Information Masking of Hadamard Sets
• The masking condition for quantum state in two-dimensional Hilbert space
• Anyonic quantum multipartite maskers in the Kitaev model
• Quantum information masking basing on quantum teleportation
• No-masking theorem for observables
• The concealment of accelerated information is possible
• Masking quantum information encoded in pure and mixed states
• Experimental Masking of Real Quantum States
• Quantum Channel Masking
• Masking quantum information into a tripartite syste
• Entanglement swapping under quantum information masking
• Entanglement is indispensable for masking arbitrary set of quantum states
• Comment on "Masking quantum information is impossible"