Quantum state transfer and input-output theory with time reversal

Abstract

Being able to reliably transfer the quantum state from one system to another is crucial to developing quantum networks. A standard way to accomplish this transfer of information is by making use of an intermediate information carrier (e.g., a photon) that is emitted by the first system and absorbed by the second. For such a scenario one can develop an effective description by eliminating the intermediate degrees of freedom, which yields an effective direct coupling between the two systems. If, however, the spectral properties of the two systems are different, the photon's time-frequency shape needs to be appropriately modified before it reaches the second system. We study here the effective description that results when we thus manipulate the intermediate photon. We examine a unitary transformation, $U$, that time reverses, frequency translates, and stretches the photon wave packet. We find that the concomitant modifications to the effective description can best be understood in terms of a change to the state's time argument, $\rho (t)={\rho }_1(\tilde{t})\otimes {\rho }_2(t)$, where $\tilde{t}$ is a fictitious time for the first system that is stretched and runs backward. We apply this theory to three-level $\Lambda$-systems inside optical cavities, and we numerically illustrate how performing the unitary transformation $U$ results in improved quantum state transfer.

arXiv comment15 pages, 9 figures

References in corpus (32)

• The Quantum Internet
• Quantum state transfer and entanglement distribution among distant nodes in a quantum network
• An Elementary Quantum Network of Single Atoms in Optical Cavities
• Quantum technologies with hybrid systems
• Hybrid quantum systems based on magnonics
• Quantum Internet: Networking Challenges in Distributed Quantum Computing
• Optomechanical quantum information processing with photons and phonons
• Quantum information transfer using photons
• Hybrid Quantum Processors: molecular ensembles as quantum memory for solid state circuits
• Development of Quantum InterConnects for Next-Generation Information Technologies
• Universal Approach to Optimal Photon Storage in Atomic Media
• Perspectives on quantum transduction
• Reversible state transfer between light and a single trapped atom
• Efficient bidirectional piezo-optomechanical transduction between microwave and optical frequency
• On-demand quantum state transfer and entanglement between remote microwave cavity memories
• Quantum Transduction of Telecommunications-band Single Photons from a Quantum Dot by Frequency Upconversion
• Adiabatic Elimination in a Lambda System
• High-fidelity entanglement between a trapped ion and a telecom photon via quantum frequency conversion
• Bandwidth manipulation of quantum light by an electro-optic time lens
• Perfect excitation of a matter qubit by a single photon in free space
• Photonic quantum state transfer between a cold atomic gas and a crystal
• Past quantum states
• A perspective on hybrid quantum opto- and electromechanical systems
• Highly efficient frequency conversion with bandwidth compression of quantum light
• Direct photonic coupling of a semiconductor quantum dot and a trapped ion
• Hybrid quantum systems with trapped charged particles
• Optimal storage of a single photon by a single intra-cavity atom
• Reversing the temporal envelope of a heralded single photon using a cavity
• Time reversal symmetry in optics
• Spectral properties of single photons from quantum emitters
• Time Reversal of Arbitrary Photonic Temporal Modes via Nonlinear Optical Frequency Conversion
• Detecting two photons with one molecule

Cited by in corpus (1)

• Dimensional Reduction in Quantum Optics