Decoherence-free subspaces and subsystems for a collectively depolarizing bosonic channel

Abstract

We discuss the structure of decoherence-free subsystems for a bosonic channel affected by collective depolarization. A single use of the channel is defined as a transmission of a pair of bosonic modes. Collective depolarization consists in a random linear U(2) transformation of the respective mode operators, which is assumed to be identical for $N$ consecutive uses of the channel. We derive a recursion formula that characterizes the dimensionality of available decoherence-free subsystems in such a setting.

13 pages, osid.sty

References in corpus (15)

• Quantum Cryptography
• Decoherence Free Subspaces for Quantum Computation
• Noiseless Quantum Codes
• Quantum Computers and Dissipation
• A Theory of Quantum Error-Correcting Codes
• Preserving coherence in quantum computation by pairing quantum bits
• Decoherence-Free Subspaces and Subsystems
• Robust polarization-based quantum key distribution over collective-noise channel
• Decoherence-Free Quantum Information Processing with Four-Photon Entangled States
• Decoherence-Free Subspaces in Quantum Key Distribution
• Classical and quantum communication without a shared reference frame
• Experimental demonstration of entanglement-enhanced classical communication over a quantum channel with correlated noise
• Robust Quantum Communication Using A Polarization-Entangled Photon Pair
• Exploiting entanglement in communication channels with correlated noise
• Bell's theorem without inequalities and without alignments

Cited by in corpus (8)

• Reference frames, superselection rules, and quantum information
• Quantum channels and memory effects
• Experimental Quantum Communication without a Shared Reference Frame
• Quantum theory of polarimetry: From quantum operations to Mueller matrices
• Quantum light depolarization: the phase-space perspective
• Depolarization for quantum channels with higher symmetries
• Decoherence and Quantum Error Correction for Quantum Computing and Communications
• Encoding the information in relative parameters