Hiding Quantum Data

Abstract

Recent work has shown how to use the laws of quantum mechanics to keep classical and quantum bits secret in a number of different circumstances. Among the examples are private quantum channels, quantum secret sharing and quantum data hiding. In this paper we show that a method for keeping two classical bits hidden in any such scenario can be used to construct a method for keeping one quantum bit hidden, and vice--versa. In the realm of quantum data hiding, this allows us to construct bipartite and multipartite hiding schemes for qubits from the previously known constructions for hiding bits. Our method also gives a simple proof that two bits of shared randomness are required to construct a private quantum channel hiding one qubit.

13 pages + 2 figs, submitted to 'David Mermin Festschrift' in Foundations of Physics

References in corpus (5)

• How to share a quantum secret
• On the Theory of Quantum Secret Sharing
• Quantum Data Hiding
• Hiding bits in Bell states
• Hiding classical data in multi-partite quantum states

Cited by in corpus (27)

• Randomizing quantum states: Constructions and applications
• Faithful Squashed Entanglement
• Multiparty data hiding of quantum information
• Measuring and using non-markovianity
• Locking classical information
• A quasipolynomial-time algorithm for the quantum separability problem
• A simple class of bound entangled states based on the properties of the antisymmetric subspace
• Quantum data hiding with continuous variable systems
• Local Indistinguishability and Possibility of Hiding cbits in Activable Bound Entangled States
• Quantum cryptography beyond key distribution: theory and experiment
• Building one-time memories from isolated qubits
• Quantum Encryption and Generalized Quantum Shannon Impossibility
• Entanglement of a Single Spin-1 Object: An Example of Ubiquitous Entanglement
• Single-shot security for one-time memories in the isolated qubits model
• Information complementarity in multipartite quantum states and security in cryptography
• Quantum data hiding in the presence of noise
• Genuine Activation of Quantum Nonlocality: Stronger Than Local Indistinguishability
• Optimality of private quantum channels
• An AB effect without closing a loop
• Exploring strong locality : Quantum state discrimination regime and beyond
• Locally-Measured Rényi Divergences
• Metric and classical fidelity uncertainty relations for random unitary matrices
• Quantum correlations for anonymous metrology
• Distributed Quantum Hypothesis Testing under Zero-rate Communication Constraints
• Classifying locally distinguishable sets: No activation across bipartitions
• Quantum data-hiding scheme using orthogonal separable states
• Activate genuine nonlocality from distinguishable sets in tripartite systems