Relating quantum privacy and quantum coherence: an operational approach

Abstract

We describe how to achieve optimal entanglement generation and one-way entanglement distillation rates by coherent implementation of a class of secret key generation and secret key distillation protocols, respectively. This short paper is a high-level descrioption of our detailed papers [8] and [10].

4 pages, revtex 4

References in corpus (8)

• Mixed State Entanglement and Quantum Error Correction
• Simple Proof of Security of the BB84 Quantum Key Distribution Protocol
• The capacity of the noisy quantum channel
• Quantum data processing and error correction
• On Quantum Fidelities and Channel Capacities
• Quantum privacy and quantum coherence
• A classical analogue of entanglement
• Unified approach to quantum capacities: towards quantum noisy coding theorem

Cited by in corpus (81)

• Quantum entanglement
• Gaussian Quantum Information
• General Benchmarks for Quantum Repeaters
• Fundamental Limits of Repeaterless Quantum Communications
• Unconditional optimality of Gaussian attacks against continuous-variable QKD
• Quantum information can be negative
• Optimality of Gaussian Attacks in Continuous Variable Quantum Cryptography
• Aspects of generic entanglement
• Secure key from bound entanglement
• Continuous Variable Quantum Cryptography using Two-Way Quantum Communication
• Direct and Reverse Secret-Key Capacities of a Quantum Channel
• A Resource Framework for Quantum Shannon Theory
• Collective attacks and unconditional security in continuous variable quantum key distribution
• Quantum discord as a resource for quantum cryptography
• Entanglement of assistance and multipartite state distillation
• Concentration of the adjacency matrix and of the Laplacian in random graphs with independent edges
• Security bounds for continuous variables quantum key distribution
• Unidimensional continuous-variable quantum key distribution
• Entanglement-assisted communication of classical and quantum information
• Entanglement irreversibility from quantum discord and quantum deficit
• Reverse Coherent Information
• Feasibility of continuous-variable quantum key distribution with noisy coherent states
• The private capacity of quantum channels is not additive
• The private classical capacity with a symmetric side channel and its application to quantum cryptography
• Trade-off capacities of the quantum Hadamard channels
• Efficient unitary designs with nearly time-independent Hamiltonian dynamics
• Key distillation from quantum channels using two-way communication protocols
• Distillation of local purity from quantum states
• Applications of coherent classical communication and the Schur transform to quantum information theory
• Trading classical communication, quantum communication, and entanglement in quantum Shannon theory
• The apex of the family tree of protocols: Optimal rates and resource inequalities
• Physical Underpinnings of Privacy
• Privacy Amplification, Private States, and the Uncertainty Principle
• Entanglement Reactivation in Separable Environments
• Quantum correlations and secret bits
• Detecting two-party quantum correlations in quantum key distribution protocols
• Capacities of repeater-assisted quantum communications
• Coherence distillation machines are impossible in quantum thermodynamics
• Entanglement witnessing and quantum cryptography with non-ideal ferromagnetic detectors
• Optimal detection of losses by thermal probes
• Four-dimensional entanglement distribution over 100 km
• Multipartite secret key distillation and bound entanglement
• Quantum circuits for exact unitary $t$-designs and applications to higher-order randomized benchmarking
• Unitary $2$-designs from random $X$- and $Z$-diagonal unitaries
• Secrecy content of two-qubit states
• Quantum state redistribution based on a generalized decoupling
• Public and private resource trade-offs for a quantum channel
• Approximate Quantum Error Correction Revisited: Introducing the Alpha-bit
• The Quantum Schur Transform: I. Efficient Qudit Circuits
• Entanglement Theory and the Quantum Simulation of Many-Body Physics
• Experimental Extraction of Secure Correlations from a Noisy Private State
• Nonlocal quantum information in bipartite quantum error correction
• Simple test for quantum channel capacity
• Secret Keys Assisted Private Classical Communication Capacity over Quantum Channels
• Entanglement purification protocol for a mixture of a pure entangled state and a pure product state
• Symmetric extension of bipartite quantum states and its use in quantum key distribution with two-way postprocessing
• Decoupling with random diagonal unitaries
• Quantum Channel Capacities Per Unit Cost
• Quantum soft-covering lemma with applications to rate-distortion coding, resolvability and identification via quantum channels
• The capacity of a quantum channel for simultaneous transmission of classical and quantum information
• Clifford Group and Unitary Designs under Symmetry
• Quantum channel capacities - multiparty communication
• Secure Coherent-state Quantum Key Distribution Protocols with Efficient Reconciliation
• Quantum privacy witness
• Entanglement generation with a quantum channel and a shared state
• W-like bound entangled states and secure key distillation
• Gaussian Operations and Privacy
• Improved one-way rates for BB84 and 6-state protocols
• Limitations on device independent key secure against non signaling adversary via the squashed non-locality
• Symmetric extendibility of quantum states
• Non-Clifford Cost of Random Unitaries
• Distillation of entanglement by projection on permutationally invariant subspaces
• Decoding general error correcting codes and the role of complementarity
• Correlation measures in bipartite states and entanglement irreversibility
• Quantum error correcting codes based on privacy amplification
• Aspects of multistation quantum information broadcasting
• On Computational Complexity of Unitary and State Design Properties
• Multi-user QKD using quotient graph states derived from continuous-variable dual-rail cluster states
• Efficient bounds on quantum communication rates via their reduced variants
• Feasibility of a quantum memory for continuous variables based on trapped ions
• Adaptively secure unitary designs with constant non-Clifford cost