Preparing Dicke states in a spin ensemble using phase estimation

• URL: http://arxiv.org/abs/2104.14310v4
• Date: Fri, 10 Sep 2021 11:29:48 GMT
• Title: Preparing Dicke states in a spin ensemble using phase estimation
• Authors: Yang Wang and Barbara M. Terhal
• Abstract summary: We present a Dicke state preparation scheme which uses global control of $N$ spin qubits. We discuss a possible realization using an ensemble of electronic spins located at diamond Nitrogen-Vacancy centers coupled to a single superconducting flux qubit.
• Score: 8.154229343781944
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We present a Dicke state preparation scheme which uses global control of $N$ spin qubits: our scheme is based on the standard phase estimation algorithm, which estimates the eigenvalue of a unitary operator. The scheme prepares a Dicke state non-deterministically by collectively coupling the spins to an ancilla qubit via a $ZZ$-interaction, using $\ceil*{\log_2 N} + 1$ ancilla qubit measurements. The preparation of such Dicke states can be useful if the spins in the ensemble are used for magnetic sensing: we discuss a possible realization using an ensemble of electronic spins located at diamond Nitrogen-Vacancy (NV) centers coupled to a single superconducting flux qubit. We also analyze the effect of noise and limitations in our scheme.

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