Quantum correlations and secret bits

Abstract

It is shown that (i) all entangled states can be mapped by single-copy measurements into probability distributions containing secret correlations, and (ii) if a probability distribution obtained from a quantum state contains secret correlations, then this state has to be entangled. These results prove the existence of a two-way connection between secret and quantum correlations in the process of preparation. They also imply that either it is possible to map any bound entangled state into a distillable probability distribution or bipartite bound information exists.

4 pages, published version

References in corpus (5)

• Entanglement as precondition for secure quantum key distribution
• Is Entanglement Monogamous?
• Relating quantum privacy and quantum coherence: an operational approach
• Multipartite Bound Information exists and can be activated
• Bound entangled states violate a non-symmetric local uncertainty relation

Cited by in corpus (41)

• Quantum entanglement
• The Security of Practical Quantum Key Distribution
• Entanglement detection
• General properties of Nonsignaling Theories
• Quantum entanglement can be simulated without communication
• Secrecy extraction from no-signalling correlations
• Quantum Cryptography
• On Secure Quantum Key Distribution Using Continuous Variables of Single Photons
• Key distillation from quantum channels using two-way communication protocols
• Error tolerance of two-basis quantum key-distribution protocols using qudits and two-way classical communication
• Security bound of two-bases quantum key-distribution protocols using qudits
• Computing secure key rates for quantum key distribution with untrusted devices
• Witnessing effective entanglement in a continuous variable prepare&measure setup and application to a QKD scheme using postselection
• Secrecy content of two-qubit states
• Realizing Physical Approximation of the Partial Transpose
• Entanglement Enhances Security in Secret Sharing
• Kochen-Specker theorem as a precondition for secure quantum key distribution
• Designing Quantum Information Processing via Structural Physical Approximation
• Public and private communication with a quantum channel and a secret key
• Noncompletely Positive Quantum Maps Enable Efficient Local Energy Extraction in Batteries
• Perfect Quantum Privacy Implies Nonlocality
• Round Complexity in the Local Transformations of Quantum and Classical States
• Numerical evidence for bound secrecy from two-way post-processing in quantum key distribution
• Upper bound on the secret key rate distillable from effective quantum correlations with imperfect detectors
• Non-secret correlations can be used to distribute secrecy
• A Classical Analog to Entanglement Reversibility
• Superactivation, unlockability, and secrecy distribution of bound information
• Gaussian Operations and Privacy
• Gaussian intrinsic entanglement: An entanglement quantifier based on secret correlations
• Provable entanglement and information cost for qubit-based quantum key-distribution protocols
• Robustness of the BB84 quantum key distribution protocol against general coherent attacks
• Postponement of dark-count effects in practical quantum key-distribution by two-way post-processing
• Gaussian multipartite bound information
• Purification of Noisy Measurements and Faithful Distillation of Entanglement
• Measurement-Protected Quantum Key Distribution
• Mirrored Entanglement Witnesses for Multipartite and High-Dimensional Quantum Systems
• Secret key distillation from shielded two-qubit states
• Entanglement and private information in many-body thermal states
• Nonlocal and quantum advantages in network coding for multiple access channels
• A cloned qutrit and its utility in information processing tasks
• Operational Coherent Measurements with Steering and Randomness