Preparing Dicke states in a spin ensemble using phase estimation

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.

References in corpus (55)

• Quantum sensing
• Advances in Quantum Metrology
• Quantum-enhanced measurements: beating the standard quantum limit
• QuTiP 2: A Python framework for the dynamics of open quantum systems
• QuTiP: An open-source Python framework for the dynamics of open quantum systems
• High-sensitivity diamond magnetometer with nanoscale resolution
• Quantum metrology with nonclassical states of atomic ensembles
• Sensitivity Optimization for NV-Diamond Magnetometry
• Dynamical decoupling and noise spectroscopy with a superconducting flux qubit
• Quantum metrology from a quantum information science perspective
• Universal dynamical decoupling of a single solid-state spin from a spin bath
• Solid-state electronic spin coherence time approaching one second
• The elusive Heisenberg limit in quantum enhanced metrology
• A Superconducting Persistent Current Qubit
• High-fidelity projective readout of a solid-state spin quantum register
• Optical magnetic detection of single-neuron action potentials using quantum defects in diamond
• Probing condensed matter physics with magnetometry based on nitrogen-vacancy centres in diamond
• Multipartite entanglement and high precision metrology
• Room temperature entanglement between distant single spins in diamond
• Scalable quantum register based on coupled electron spins in a room temperature solid
• A 10-qubit solid-state spin register with quantum memory up to one minute
• Coherent coupling of a superconducting flux-qubit to an electron spin ensemble in diamond
• Efficient engineering of multi-atom entanglement through single-photon detections
• High fidelity spin entanglement using optimal control
• Experimental entanglement of a six-photon symmetric Dicke state
• Atomic-scale imaging of a 27-nuclear-spin cluster using a single-spin quantum sensor
• Experimental Observation of Four-Photon Entangled Dicke State with High Fidelity
• Coupling Nitrogen Vacancy Centers in Diamond to Superconducting Flux Qubits
• Fast adiabatic qubit gates using only ${\sigma }_z$ control
• Experimental Demonstration of a Robust and Scalable Flux Qubit
• A fast, low-leakage, high-fidelity two-qubit gate for a programmable superconducting quantum computer
• Quantum phase estimation of multiple eigenvalues for small-scale (noisy) experiments
• Quantum metrology enhanced by repetitive quantum error correction
• Deterministic Dicke state preparation with continuous measurement and control
• Single-Mode Displacement Sensor
• Encoding a Qubit into a Cavity Mode in Circuit-QED using Phase Estimation
• Deterministic Preparation of Dicke States
• Permutation-invariant quantum codes
• Preparation of Dicke States in an Ion Chain
• Solid-state electron spin lifetime limited by phononic vacuum modes
• Robust entanglement-based magnetic field sensor beyond the standard quantum limit
• Quantum Metrology with Dicke Squeezed States
• Detecting metrologically useful entanglement in the vicinity of Dicke states
• Quantum Fourier transform for quantum sensing
• Permutation-invariant qudit codes from polynomials
• Generation of Dicke States with Phonon-Mediated Multi-level Stimulated Raman Adiabatic Passage
• Permutation-invariant codes encoding more than one qubit
• Vector magnetic field sensing via multi-frequency control of nitrogen-vacancy centers in diamond
• Generalized parity measurements
• Permutation-invariant quantum coding for quantum deletion channels
• Geometric pathway to scalable quantum sensing
• Deterministic generation of arbitrary symmetric states and entanglement classes
• Universal gates for transforming multipartite entangled Dicke states
• Extreme spin squeezing in the steady state of a generalized Dicke model
• Efficient detection of inhomogeneous magnetic fields from a single spin with Dicke states

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