Efficient preparation of Dicke states

Abstract

We present an algorithm utilizing mid-circuit measurement and feedback that prepares Dicke states with polylogarithmically many ancillas and polylogarithmic depth. Our algorithm uses only global mid-circuit projective measurements and adaptively-chosen global rotations. This improves over prior work that was only efficient for Dicke states of low weight, or was not efficient in both depth and width. Our algorithm can also naturally be implemented in a cavity QED context using polylogarithmic time, zero ancillas, and atom-photon coupling scaling with the square root of the system size.

7 pages plus end matter and supplement, 4 figures

References in corpus (64)

• Quantum Computing in the NISQ era and beyond
• Search for New Physics with Atoms and Molecules
• From the Quantum Approximate Optimization Algorithm to a Quantum Alternating Operator Ansatz
• A Straightforward Introduction to Continuous Quantum Measurement
• Multipartite entanglement and high precision metrology
• Implementation of Cavity Squeezing of a Collective Atomic Spin
• Geodesy and metrology with a transportable optical clock
• Resolving the gravitational redshift within a millimeter atomic sample
• Twin matter waves for interferometry beyond the classical limit
• Mesoscopic atomic entanglement for precision measurements beyond the standard quantum limit
• Gravitational wave detection with optical lattice atomic clocks
• States of an Ensemble of Two-Level Atoms with Reduced Quantum Uncertainty
• Experimental realization of Dicke states of up to six qubits for multiparty quantum networking
• Experimental entanglement of a six-photon symmetric Dicke state
• Optical clock comparison test of Lorentz symmetry
• Experimental Observation of Four-Photon Entangled Dicke State with High Fidelity
• Atomic Clocks for Geodesy
• Detecting multiparticle entanglement of Dicke states
• Deterministic entanglement generation from driving through quantum phase transitions
• Permutationally invariant quantum tomography
• Deterministic Squeezed States with Joint Measurements and Feedback
• Two-dimensional transport and transfer of a single atomic qubit in optical tweezers
• Squeezing the Collective Spin of a Dilute Atomic Ensemble by Cavity Feedback
• First observation with global network of optical atomic clocks aimed for a dark matter detection
• Beating the classical precision limit with spin-1 Dicke state of more than 10000 atoms
• Useful Multiparticle Entanglement and Sub-Shot-Noise Sensitivity in Experimental Phase Estimation
• Universal gate operations on nuclear spin qubits in an optical tweezer array of ${}^{171}$Yb atoms
• Spin squeezing and precision probing with light and samples of atoms in the gaussian approximation
• Deterministic Preparation of Dicke States
• Long-lived Bell states in an array of optical clock qubits
• Mid-circuit cavity measurement in a neutral atom array
• Permutation-invariant quantum codes
• Preparation of Dicke States in an Ion Chain
• Carving complex many-atom entangled states by single-photon detection
• Dispersive optical systems for scalable Raman driving of hyperfine qubits
• Quantum Metrology with Dicke Squeezed States
• The Quantum Alternating Operator Ansatz on Maximum k-Vertex Cover
• Experimental Quantum Networking Protocols via Four-Qubit Hyperentangled Dicke States
• A quantum-network register assembled with optical tweezers in an optical cavity
• Efficient compression of quantum information
• A Divide-and-Conquer Approach to Dicke State Preparation
• Coherent Control of the Fine-Structure Qubit in a Single Alkaline-Earth Atom
• Short-Depth Circuits for Dicke State Preparation
• Optimal quantum states for frequency estimation
• Approximating many-body quantum states with quantum circuits and measurements
• Generation of Dicke States with Phonon-Mediated Multi-level Stimulated Raman Adiabatic Passage
• State preparation by shallow circuits using feed forward
• Quantum interference of a single spin excitation with a macroscopic atomic ensemble
• Generation of Dicke states using adiabatic passage
• Preparing Dicke states in a spin ensemble using phase estimation
• Geometric pathway to scalable quantum sensing
• Spin-squeezing and Dicke state preparation by heterodyne measurement
• Painting Non-Classical States of Spin or Motion with Shaped Single Photons
• On-chip generation and collectively coherent control of the superposition of the whole family of Dicke states
• Dicke State Generation and Extreme Spin Squeezing via Rapid Adiabatic Passage
• Counterdiabatic driving in spin squeezing and Dicke state preparation
• Optimization by Decoded Quantum Interferometry
• Optimized parameter estimation in the presence of collective phase noise
• $q$-analog qudit Dicke states
• Global Variational Quantum Circuits for Arbitrary Symmetric State Preparation
• Covariant Quantum Error-Correcting Codes with Metrological Entanglement Advantage
• Spin-s Dicke states and their preparation
• Dicke states as matrix product states
• Logarithmic-Depth Quantum Circuits for Hamming Weight Projections

Cited by in corpus (5)

• Lieb-Mattis states for robust entangled differential phase sensing
• Generalized Parity Measurements and Efficient Large Multi-component Cat State Preparation with Quantum Signal Processing
• Quantum optimal control of the Dicke manifold in dipolar Rydberg atom arrays
• Spin-$s$ $U(1)$-eigenstate preparation
• Frustration-Free Control and Absorbing-State Transport in Entangled State Preparation