Zero-dynamics principle for perfect quantum memory in linear networks
arXiv:1403.1698 · doi:10.1088/1367-2630/16/7/073032
Abstract
In this paper, we study a general linear networked system that contains a tunable memory subsystem; that is, it is decoupled from an optical field for state transportation during the storage process, while it couples to the field during the writing or reading process. The input is given by a single photon state or a coherent state in a pulsed light field. We then completely and explicitly characterize the condition required on the pulse shape achieving the perfect state transfer from the light field to the memory subsystem. The key idea to obtain this result is the use of zero-dynamics principle, which in our case means that, for perfect state transfer, the output field during the writing process must be a vacuum. A useful interpretation of the result in terms of the transfer function is also given. Moreover, a four-nodes network composed of atomic ensembles is studied as an example, demonstrating how the input field state is transferred to the memory subsystem and how the input pulse shape to be engineered for perfect memory looks like.
31 pages, 5 figures
References in corpus (15)
- Experimental demonstration of quantum memory for light
- Slowing and stopping light using an optomechanical crystal array
- Photon storage in Lambda-type optically dense atomic media. II. Free-space model
- Photon storage in Lambda-type optically dense atomic media. I. Cavity model
- Coherent Optical Memory with High Storage Efficiency and Large Fractional Delay
- Quantum memory for entangled two-mode squeezed states
- Deterministic single photons via conditional quantum evolution
- Optimal light storage in atomic vapor
- Linear Quantum Feedback Networks
- Optimal light storage with full pulse shape control
- Photon storage in Lambda-type optically dense atomic media. III. Effects of inhomogeneous broadening
- Coherent control of single photon states
- Generation of pure continuous-variable entangled cluster states of four separate atomic ensembles in a ring cavity
- Focus on Quantum Memories
- Counterintuitive temporal shape of single photons
Cited by in corpus (14)
- Coherent versus measurement feedback: Linear systems theory for quantum information
- The Kalman Decomposition for Linear Quantum Systems
- Real-Time Quadrature Measurement of a Single-Photon Wavepacket with Continuous Temporal-Mode-Matching
- Analysis and Control of Quantum Finite-level Systems Driven by Single-photon Input States
- Photonic temporal-mode multiplexing by quantum frequency conversion in a dichroic-finesse cavity
- Perfectly capturing traveling single photons of arbitrary temporal wavepackets with a single tunable device
- Optimal control for perfect state transfer in linear quantum memory
- Quantum state transfer through time reversal of an optical channel
- Modular Quantum Memories Using Passive Linear Optics and Coherent Feedback
- Feasibility study of a coherent feedback squeezer
- Dynamical analysis of quantum linear systems driven by multi-channel multi-photon states
- Quantum state transfer for multi-input linear quantum systems
- On the dynamics of two photons interacting with a two-qubit coherent feedback network}
- Control of continuous-mode single-photon states: a review