Detecting the event of a single photon loss on quantum signals
arXiv:2003.10654 · doi:10.1088/1361-6455/abee98
Abstract
We design a scheme for detecting a single photon loss from multi-modal quantum signals transmitted via a fiber or in free space. This consists of a special type of unitary coding transformation, the controlled-squeezing, applied prior to the transmission on the signal composed by information and ancilla modes. At the receiver, the inverse unitary transformation is applied -decoding, and the ancilla modes are measured via photon detection. The outcome reveals whether a photon loss has occurred. Distortion of the information part of the signal caused by an ancilla photon loss can be corrected if the encoding transformation is appropriately selected. Loss of a photon from the information part of the signal can be detected with the probability exponentially close to unity. In contrast to the schemes of decoherence free subspaces and quantum error correction protocols, this methods allows one to make use of entire Hilbert space dimensionality. We discuss possible ways of synthesizing the required encoding-decoding transformations.
arXiv comment7 pages, 2 figures
References in corpus (28)
- Long-distance quantum communication with atomic ensembles and linear optics
- Photonic quantum technologies
- Encoding a qubit in an oscillator
- Quantum repeaters based on entanglement purification
- Photonic quantum information processing: a concise review
- Macroscopically distinct quantum superposition states as a bosonic code for amplitude damping
- New class of quantum error-correcting codes for a bosonic mode
- Quantum optics in the phase space - A tutorial on Gaussian states
- Codes for the Quantum Erasure Channel
- Noiseless Linear Amplification and Distillation of Entanglement
- Performance and structure of single-mode bosonic codes
- Hardware-efficient autonomous quantum error correction
- A high-fidelity noiseless amplifier for quantum light states
- Quantum Error Correction
- Bosonic Quantum Codes for Amplitude Damping
- Implementation of a non-deterministic optical noiseless amplifier
- Universal continuous-variable quantum computation: Requirement of optical nonlinearity for photon counting
- Noise-Powered Probabilistic Concentration of Phase Information
- Heralded Noiseless Amplification of a Photon Polarization Qubit
- Heralded photon amplification for quantum communication
- Pair-cat codes: autonomous error-correction with low-order nonlinearity
- Quantum error correction against photon loss using NOON states
- Repeat-until-success cubic phase gate for universal continuous-variable quantum computation
- How to decompose arbitrary continuous-variable quantum operations
- Protecting an optical qubit against photon loss
- Photon Statistics of a Two-Mode Squeezed Vacuum
- Hardware-Efficient Bosonic Quantum Error-Correcting Codes Based on Symmetry Operators
- Exact gate decompositions for photonic quantum computing