Discrete-time quantum walk with nitrogen-vacancy centers in diamond coupled to a superconducting flux qubit

Abstract

We propose a quantum-electrodynamics scheme for implementing the discrete-time, coined quantum walk with the walker corresponding to the phase degree of freedom for a quasi-magnon field realized in an ensemble of nitrogen-vacancy centres in diamond. The coin is realized as a superconducting flux qubit. Our scheme improves on an existing proposal for implementing quantum walks in cavity quantum electrodynamics by removing the cumbersome requirement of varying drive-pulse durations according to mean quasiparticle number. Our improvement is relevant to all indirect-coinflip cavity quantum-electrodynamics realizations of quantum walks. Our numerical analysis shows that this scheme can realize a discrete quantum walk under realistic conditions.

Optically detected magnetic resonance of high-density ensemble of NV−centers in diamond

“…An NV − center can be used for a sensitive magnetic field sensor [16][17][18]. An ensemble of NV − centers can be also used for demonstrating quantum metrology [19][20][21] and physical phenomena in fundamental physics, such as quantum walk [22], and quantum simulation [23]. Also, the ensemble of NV − centers can be used as the hybrid devices between different physical systems, in particular, superconducting systems [24][25][26][27][28][29][30][31][32][33][34][35][36].…”

CVD growth of ultrapure diamond, generation of NV centers by ion implantation, and their spectroscopic characterization for quantum technological applications

“…Ensemble of centers has already been applied in different contexts like quantum metrology [12,24], quantum walk [25], device physics [26][27][28], and quantum simulations [29] . In this context, there have been a significant amount of efforts regarding growing highly-pure diamond films and implanting clusters of NV centers with a target pattern suitable for the desired applications.…”

How to Realize One-dimensional Discrete-time Quantum Walk by Dirac Particle

“…The simplest implementation in a photonic system is to use a polarized beam splitter or shifter and polarizers. Other experimental proposals of DTQWs have been demonstrated for an ion trap [23], cavity quantum electrodynamics [24], a non-Abelian anyon [25], BoseEinstein condensation [26], angular momentum classical light [27], ensembles of nitrogen-vacancy centers in diamond coupled to a superconducting qubit [28], and an optomechanical system [29].…”