Quantum Information Masking of Hadamard Sets
arXiv:2109.14819 · doi:10.1007/s11128-021-03253-3
Abstract
We study quantum information masking of arbitrary dimensional states. Given a set of fixed reducing pure states, we study the linear combinations of them, such that they all have the same marginal states with the given ones. We define the so called Hadamard set of quantum states whose Gram-Schmidt matrix can be diagonalized by Hadamard unitary matrices. We show that any Hadamard set can be deterministically masked by a unitary operation. We analyze the states which can be masked together with the given Hadamard set using the result about the linear combinations of fixed reducing states. Detailed examples are given to illustrate our results.
arXiv comment10 pages, 0figures
References in corpus (22)
- Quantum Cryptography
- Experimental quantum teleportation
- Quantum information with continuous variables
- The Security of Practical Quantum Key Distribution
- Quantum secret sharing
- Quantum Key Distribution with High Loss: Toward Global Secure Communication
- How to share a quantum secret
- Optimal Quantum Cloning Machines
- Noncommuting mixed states cannot be broadcast
- Experimental Quantum Cloning of Single Photons
- All Teleportation and Dense Coding Schemes
- The maximally entangled set of multipartite quantum states
- Secret sharing of a quantum state
- The mean king's problem: Prime degrees of freedom
- Masking quantum information is impossible
- Masking quantum information in multipartite scenario
- Probabilistic and Approximate Masking of Quantum Information
- Complete characterization of qubit masking
- Masking Quantum Information on Hyperdisks
- Deterministic versus probabilistic quantum information masking
- Common origin of no-cloning and no-deleting principles - Conservation of information
- Impossibility of masking a set of quantum states of nonzero measure