Random subspaces for encryption based on a private shared Cartesian frame
arXiv:quant-ph/0506260 · doi:10.1103/PhysRevA.72.052329
Abstract
A private shared Cartesian frame is a novel form of private shared correlation that allows for both private classical and quantum communication. Cryptography using a private shared Cartesian frame has the remarkable property that asymptotically, if perfect privacy is demanded, the private classical capacity is three times the private quantum capacity. We demonstrate that if the requirement for perfect privacy is relaxed, then it is possible to use the properties of random subspaces to nearly triple the private quantum capacity, almost closing the gap between the private classical and quantum capacities.
9 pages, published version
References in corpus (21)
- A Theory of Quantum Error-Correcting Codes
- Randomizing quantum states: Constructions and applications
- Spin flips and quantum information for anti-parallel spins
- Robust polarization-based quantum key distribution over collective-noise channel
- Decoherence-Free Subspaces in Quantum Key Distribution
- Superdense coding of quantum states
- Classical and quantum communication without a shared reference frame
- Superselection rules and quantum protocols
- Efficient use of quantum resources for the transmission of a reference frame
- Entanglement constrained by superselection rules
- Quantum nonlocality in the presence of superselection rules and data hiding protocols
- Entangled quantum states as direction indicators
- Transmission of a Cartesian Frame by a Quantum System
- Aligning Reference Frames Using Quantum States
- Decoherence-full subsystems and the cryptographic power of a private shared reference frame
- Optimal encoding and decoding of a spin direction
- Quantifying the resource of sharing a reference frame
- Entanglement under restricted operations: Analogy to mixed-state entanglement
- Invariant Integration over the Unitary Group
- Elliptic Rydberg states as direction indicators
- The cryptographic power of misaligned reference frames
Cited by in corpus (15)
- Reference frames, superselection rules, and quantum information
- Generic local distinguishability and completely entangled subspaces
- Complementarity of Private and Correctable Subsystems in Quantum Cryptography and Error Correction
- Private algebras in quantum information and infinite-dimensional complementarity
- Optimality of programmable quantum measurements
- Private Quantum Subsystems
- Symmetrizing Cost of Quantum States
- Relative states, quantum axes and quantum references
- Quantum Subsystems: Exploring the Complementarity of Quantum Privacy and Error Correction
- Quantum Privacy and Schur Product Channels
- Private Quantum Subsystems and Quasiorthogonal Operator Algebras
- Quantum teleportation in the commuting operator framework
- Quantum Complementarity and Operator Structures
- Structure Theorem for Quantum Replacer Codes
- Nullspaces of Entanglement Breaking Channels and Applications