Role of Bell-CHSH violation and local filtering in quantum key distribution
arXiv:2002.12080 · doi:10.1016/j.physleta.2021.127158
Abstract
In this article, we analyse the relationship between the Bell violation and the secure key rate of entanglement assisted quantum key distribution (QKD) protocols. Specifically, we address the question whether Bell violation is necessary or sufficient for secure communication. We construct a class of states which do not show Bell violation, however, which can be used for secure communication after local filtering. Similarly, we identify another class of states which show Bell violation but can not be used for generating secure key even after local filtering. The existence of these two classes of states demonstrates that Bell violation as an initial resource is neither necessary nor sufficient for QKD. Our work therefore forces a departure from traditional thinking that the degree of Bell violation is a key resource for quantum communication and brings out the role of local filtering.
arXiv comment8 pages, 2 figures. Comments are welcome
References in corpus (32)
- Quantum entanglement
- Quantum Cryptography
- Entanglement of Formation of an Arbitrary State of Two Qubits
- The Security of Practical Quantum Key Distribution
- Simple Proof of Security of the BB84 Quantum Key Distribution Protocol
- Bell nonlocality
- Measurement-device-independent quantum key distribution
- Bell inequalities for arbitrarily high dimensional systems
- Optimal eavesdropping in quantum cryptography with six states
- Measurement device independent quantum key distribution over 404 km optical fibre
- Quantum cryptography protocols robust against photon number splitting attacks for weak laser pulses implementations
- From Bell's Theorem to Secure Quantum Key Distribution
- High-rate quantum cryptography in untrusted networks
- Experimental measurement-device-independent quantum key distribution
- Experimental Demonstration of Polarization Encoding Measurement-Device-Independent Quantum Key Distribution
- A Relevant Two Qubit Bell Inequality Inequivalent to the CHSH Inequality
- Secure key from bound entanglement
- Measurement-device-independent quantum key distribution over 200 km
- Local filtering operations on two qubits
- Security of two quantum cryptography protocols using the same four qubit states
- Security proof for cryptographic protocols based only on the monogamy of Bell's inequality violations
- On the performance of two protocols: SARG04 and BB84
- Symmetries in Quantum Key Distribution and the Connection between Optimal Attacks and Optimal Cloning
- Security of two-way quantum key distribution
- General implementation of all possible positive-operator-value measurements of single photon polarization states
- Experimental Entanglement Distillation of Two-qubit Mixed States Under Local filtering Operations
- Equivalence between two-qubit entanglement and secure key distribution
- Quantum key distribution protocol based on contextuality monogamy
- Coherence assisted non-Gaussian measurement device independent quantum key distribution
- Perfect Quantum Privacy Implies Nonlocality
- Canonical forms of two-qubit states under local operations
- Measurement-based local quantum filters and their ability to transform quantum entanglement
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- Device-Independent Quantum Key Distribution Using Random Quantum States
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- Implementation of discrete positive operator valued measures on linear optical systems using cosine-sine decomposition
- Emergence of maximal hidden quantum correlations and its trade-off with the filtering probability in dissipative two-qubit systems
- Experimental single-copy distillation of quantumness from higher-dimensional entanglement
- Monogamy relations of entropic non-contextual inequalities and their experimental realization
- Deterministic generation of hybrid entangled states using quantum walks
- Swapping of quantum correlations and the role of local filtering operations
- Role of Steering Inequality In Quantum Key Distribution Protocol