Quantum secure direct communication with private dense coding using general preshared quantum state
arXiv:2112.15113 · doi:10.1103/PhysRevApplied.17.064011
Abstract
We study quantum secure direct communication by using a general preshared quantum state and a generalization of dense coding. In this scenario, Alice is allowed to apply a unitary on the preshared state to encode her message, and the set of allowed unitaries forms a group. To decode the message, Bob is allowed to apply a measurement across his own system and the system he receives. In the worst scenario, we guarantee that Eve obtains no information for the message even when Eve access the joint system between the system that she intercepts and her original system of the preshared state. For a practical application, we propose a concrete protocol and derive an upper bound of information leakage in the finite-length setting. We also discuss how to apply our scenario to the case with discrete Weyl-Heisenberg representation when the preshared state is unknown.
arXiv commentThis paper is accepted for publicaiotn in Physical Review Applied
References in corpus (49)
- Mixed State Entanglement and Quantum Error Correction
- Channel polarization: A method for constructing capacity-achieving codes for symmetric binary-input memoryless channels
- Concentrating Partial Entanglement by Local Operations
- Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
- Unconditional Security Of Quantum Key Distribution Over Arbitrarily Long Distances
- A Two-Step Quantum Direct Communication Protocol Using Einstein-Podolsky-Rosen Pair Block
- Theoretical efficient high capacity Quantum Key Distribution Scheme
- Secure Direct Communication with a Quantum One-Time-Pad
- Distillation of secret key and entanglement from quantum states
- On quantum Renyi entropies: a new generalization and some properties
- Quantum Secure Direct Communication with Quantum Memory
- Tight Finite-Key Analysis for Quantum Cryptography
- Strong converse for the classical capacity of entanglement-breaking and Hadamard channels via a sandwiched Renyi relative entropy
- General Scheme for Super Dense Coding between Multi-Parties
- Achieving the Secrecy Capacity of Wiretap Channels Using Polar Codes
- One-step deterministic polarization entanglement purification using spatial entanglement
- Long-distance entanglement purification for quantum communication
- Robustness of asymmetry and coherence of quantum states
- Measuring the quality of a quantum reference frame: the relative entropy of frameness
- Exponential decreasing rate of leaked information in universal random privacy amplification
- Quantum Reverse Shannon Theorem
- Practical issues in quantum-key-distribution post-processing
- Error Exponent in Asymmetric Quantum Hypothesis Testing and Its Application to Classical-Quantum Channel coding
- Strong Converse to the Quantum Channel Coding Theorem
- Simple and tight device-independent security proofs
- A largely self-contained and complete security proof for quantum key distribution
- Optimal dense coding with mixed state entanglement
- Quantum mutual information and the one-time pad
- Quantum simulation of photosynthetic energy transfer
- Concise and Tight Security Analysis of the Bennett-Brassard 1984 Protocol with Finite Key Lengths
- Strong converse exponent for classical-quantum channel coding
- More Efficient Privacy Amplification with Less Random Seeds via Dual Universal Hash Function
- Experimental one-step deterministic entanglement purification
- The asymmetry properties of pure quantum states
- Skew informations from an operational view via resource theory of asymmetry
- Quantum wiretap channel with non-uniform random number and its exponent and equivocation rate of leaked information
- Fundamental limits on the capacities of bipartite quantum interactions
- Entanglement and secret-key-agreement capacities of bipartite quantum interactions and read-only memory devices
- Universal entanglement concentration
- Encoding classical information into quantum resources
- Constructing monotones for quantum phase references in totally dephasing channels
- Entanglement-assisted private communication over quantum broadcast channels
- Two-Way Physical Layer Security Protocol for Gaussian Channels
- Conditional quantum one-time pad
- Symmetrizing Cost of Quantum States
- Teleportation and entanglement distillation in the presence of correlation among bipartite mixed states
- Source and Channel Polarization over Finite Fields and Reed-Solomon Matrices
- Privacy amplification and decoupling without smoothing
- Superdense Coding in Resource Theory of Asymmetry
Cited by in corpus (8)
- The Evolution of Quantum Secure Direct Communication: On the Road to the Qinternet
- Device-independent quantum secure direct communication with single photon sources
- Quantum integrated sensing and communication via entanglement
- Towards Global Quantum Key Distribution
- Deterministic generation of multi-qubit entangled states among distant parties using indefinite causal order
- Quantum key distribution based on orthogonal state encoding
- Prior Entanglement Exponentially Improves One-Server Quantum Private Information Retrieval for Quantum Messages
- When quantum memory is useful for dense coding