Generation of hybrid entanglement between a single-photon polarization qubit and a coherent state

Abstract

We propose a scheme to generate entanglement between a single-photon qubit in the polarization basis and a coherent state of light. The required resources are a superposition of coherent states, a polarization entangled photon pair, beam splitters, the displacement operation, and four photodetectors. Even when realistic detectors with a limited efficiency are used, an arbitrarily high fidelity can be obtained by adjusting a beam-splitter ratio and the displacement amplitude at the price of reducing the success probability. Our analysis shows that high fidelities may be obtained using on-off detectors with low efficiencies and available resource states under current technology.

Qubit-Programmable Operations on Quantum Light Fields

“…At present, all these operation still require the engineering of mesoscopic systems with an acceptance bandwidth large enough to allow pulsed operation, a task which is under intense development 58 59 60 . In general, this interface might allow for more flexible control of quantum light, towards the investigation and the exploitation of micro-macro quantum correlations 61 62 63 .…”

Nonlocal hyperconcentration on entangled photons using photonic module system

“…In addition to the hyperentanglement, entanglement between different DOFs of photons, i.e., the hybrid entanglement, has also been identified as a useful resource for optical QIP 40,41 . Recently, the generation schemes of hybrid entanglement between a single photon and a coherent state in a free-travelling field have been proposed and demonstrated using the quantum optical methods 42,43 .…”

Quantum teleportation between a single-rail single-photon qubit and a coherent-state qubit using hybrid entanglement under decoherence effects

“…Recently, a hybrid approach that combines the advantages of both the methods was proposed, where hybrid entanglement between a single photon with the polarization degree of freedom and a coherent state in a free-travelling field is used as a resource [16]. It enables one to perform a nearly deterministic quantum teleportation and a universal set of gate operations for quantum computing using linear optics and photon detection [17].…”

“…Even though a cross-Kerr nonlinearity can be used, in principle, to generate this type of hybrid entanglement [26,27,28], it is extremely demanding to obtain a clean cross-Kerr interaction of sufficient strength [29,30,31]. A scheme using a pre-arranged coherent state superposition and linear optics elements was suggested [16] while preparation of a coherent state superposition with a high fidelity [32] is a difficult part in this scheme. A more feasible method based on the single-photonaddition technique was proposed and experimentally demonstrated [33], where hybrid entanglement was generated between a single-photon single-rail qubit (hereafter, a single-rail qubit) [4] and a coherent state qubit.…”