Remote state preparation of spatial qubits

Abstract

We study the quantum communication protocol of remote state preparation (RSP) for pure states of qubits encoded in single photons transmitted through a double slit, the so-called spatial qubits. Two measurement strategies that one can adopt to remotely prepare the states are discussed. The first strategy is the well-known spatial postselection, where a single-pixel detector measures the transverse position of the photon between the focal and the image plane of a lens. The second strategy, proposed by ourselves, is a generalized measurement divided into two steps: the implementation of a two-outcome positive operator-valued measurement (POVM) followed by the spatial postselection at the focal plane of the lens by a two-pixel detector in each output of the POVM. In both cases we analyze the effects of the finite spatial resolution of the detectors over three figures of merit of the protocol, namely, the probability of preparation, the fidelity and purity of the remotely prepared states. It is shown that our strategy improves these figures compared with spatial postselection, at the expense of increasing the classical communication cost as well as the required experimental resources. In addition, we present a modified version of our strategy for RSP of spatial qudits which is able to prepare arbitrary pure states, unlike spatial postselection alone. We expect that our study may also be extended for RSP of the angular spectrum of a single-photon field as an alternative for quantum teleportation which requires very inefficient nonlinear interactions.

arXiv comment17 pages, 8 figures. Published version

References in corpus (23)

• Remote State Preparation
• Classical Communication Cost in Distributed Quantum Information Processing - A generalization of Quantum Communication Complexity
• Minimum cbits for remote preperation and measurement of a qubit
• Maximum efficiency of a linear-optical Bell-state analyzer
• Remote state preparation: arbitrary remote control of photon polarization
• Faithful remote state preparation using finite classical bits and a non-maximally entangled state
• Generation of maximally entangled states of qudits using twin photons
• Remote Preparation of Mixed States via Noisy Entanglement
• Remote preparation of a single-mode photonic qubit by measuring field quadrature noise
• Remote preparation of quantum states
• Continuous variable remote state preparation
• Experimental quantum tomography of photonic qudits via mutually unbiased basis
• Deterministic remote preparation of arbitrary photon polarization states
• Hybrid photonic entanglement: Realization, characterization and applications
• Manipulating spatial qudit states with programmable optical devices
• General implementation of all possible positive-operator-value measurements of single photon polarization states
• Derivation and experimental test of fidelity benchmarks for remote preparation of arbitrary qubit states
• Measurement and control of spatial qubits generated by passing photons through double-slits
• Fast entanglement detection for unknown states of two spatial qutrits
• Measurement of spatial qubits
• Reconstruction of spatial qutrit states based on realistic measurement operators
• Control of quantum transverse correlations on a four-photon system
• Measurement strategy for spatially encoded photonic qubits

Cited by in corpus (13)

• Geometry of the generalized Bloch sphere for qutrits
• Remote preparation of continuous-variable qubits using loss-tolerant hybrid entanglement of light
• Experimental minimum-error quantum-state discrimination in high dimensions
• Preparing arbitrary pure states of spatial qudits with a single phase-only spatial light modulator
• Remote preparation of three-photon entangled states via single-photon measurement
• A new scheme for probabilistic teleportation and its potential applications
• Remote preparation for single-photon state in two degrees of freedom with hyper-entangled states
• Quantum interference of position and momentum: a particle propagation paradox
• Optimized generation of spatial qudits by using a pure phase spatial light modulator
• Control of particle propagation beyond the uncertainty limit by interference between position and momentum
• Remote temporal wavepacket narrowing
• Controlled generation of mixed spatial qudits with arbitrary degree of purity
• Experimental optimal discrimination of $N$ states of a qubit with fixed rates of inconclusive outcomes