Quantum Channel State Masking

Abstract

Communication over a quantum channel that depends on a quantum state is considered, when the encoder has channel side information (CSI) and is required to mask information on the quantum channel state from the decoder. Full characterization is established for the entanglement-assisted masking equivocation region, and a regularized formula is given for the quantum capacity-leakage function without assistance. For Hadamard channels without assistance, we derive single-letter inner and outer bounds, which coincide in the standard case of a channel that does not depend on a state.

Bosonic Dirty Paper Coding

“…We extend this result to the bosonic channel with infinite-dimension Hilbert spaces based on the discretization limiting argument by Guha et al [20]. Related settings were also considered in [21,22,23].…”

Photonic implementation of quantum information masking

“…Despite the fundamental handicap in its universal implementation, masking of quantum information admits state-dependent [11] and probabilistic realization [12,13], which is similar to other generally impossible tasks in quantum information [14,15]. Extrapolations of masking into multipartite [16], multi-level [17] scenarios and channel states [18] have been proposed. Masking of quantum information unravels profound affiliation with e.g, quantum state discrimination [19], qubit commitment [20,21], secret sharing [22], and pivotal laws of nature like information conservation [23].…”