Hybrid ququart-encoded quantum cryptography protected by Kochen-Specker contextuality
arXiv:1109.2508 · doi:10.1103/PhysRevA.84.030302
Abstract
Quantum cryptographic protocols based on complementarity are nonsecure against attacks in which complementarity is imitated with classical resources. The Kochen-Specker (KS) theorem provides protection against these attacks, without requiring entanglement or spatially separated composite systems. We analyze the maximum tolerated noise to guarantee the security of a KS-protected cryptographic scheme against these attacks, and describe a photonic realization of this scheme using hybrid ququarts defined by the polarization and orbital angular momentum of single photons.
REVTeX4-1, 5 pages, 2 figures
References in corpus (6)
- Device-independent security of quantum cryptography against collective attacks
- Hypergeometric-Gaussian Modes
- Experimental optimal cloning of four-dimensional quantum states of photons
- Experimental generation and characterization of single-photon hybrid ququarts based on polarization-orbital angular momentum encoding
- Towards a loophole-free test of Bell's inequality with entangled pairs of neutral atoms
- Staging quantum cryptography with chocolate balls
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- Experimental observation of Hardy-like quantum contextuality
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- Proofs of the Kochen-Specker theorem based on the N-qubit Pauli group
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- Experimental Test of the Quantum Violation of the Noncontextuality Inequalities for the n-Cycle Scenario
- Parity proofs of the Kochen-Specker theorem based on 60 complex rays in four dimensions
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- Confined Contextuality in Neutron Interferometry: Observing the Quantum Pigeonhole Effect
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- Vector Generation of Quantum Contextual Sets in Even Dimensional Hilbert Spaces
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- Canonical Leggett-Garg Inequality: Nonclassicality of temporal quantum correlations under energy constraint
- A proof of the Kochen-Specker theorem can always be converted to a state-independent noncontextuality inequality
- Certifying sets of quantum observables with any full-rank state
- GHZ paradoxes based on an even number of qubits
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- Experimental test of high-dimensional quantum contextuality based on contextuality concentration
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- State-independent quantum contextuality with projectors of nonunit rank
- Revealing quantum contextuality using a single measurement device
- Non-classical Correlations in n-Cycle Setting
- Revisiting the admissibility of non-contextual hidden variable models in quantum mechanics
- Protecting temporal correlations of two-qubit states using quantum channels with memory
- Non-Kochen-Specker Contextuality
- Generalized parity proofs of the Kochen-Specker theorem
- Vector Generation of Contextual Sets
- Generation of Kochen-Specker contextual sets in higher dimensions by dimensional upscaling whose complexity does not scale with dimension and their applications
- Twenty years of quantum contextuality at USTC
- Quantum Contextual Hypergraphs, Operators, Inequalities, and Applications in Higher Dimensions
- Quantum Clock Synchronization with a Single Qudit
- Scheme of quantum communications based on Witting polytope
- Contextuality, superlocality and nonclassicality of supernoncontextuality
- All fundamental non-contextuality inequalities are unique
- Certified Quantumness via Single-Shot Temporal Measurements