Multi-qubit gates and Schrödinger cat states in an optical clock

Abstract

Many-particle entanglement is a key resource for achieving the fundamental precision limits of a quantum sensor. Optical atomic clocks, the current state-of-the-art in frequency precision, are a rapidly emerging area of focus for entanglement-enhanced metrology. Augmenting tweezer-based clocks featuring microscopic control and detection with the high-fidelity entangling gates developed for atom-array information processing offers a promising route towards leveraging highly entangled quantum states for improved optical clocks. Here we develop and employ a family of multi-qubit Rydberg gates to generate Schrödinger cat states of the Greenberger-Horne-Zeilinger (GHZ) type with up to 9 optical clock qubits in a programmable atom array. In an atom-laser comparison at sufficiently short dark times, we demonstrate a fractional frequency instability below the standard quantum limit using GHZ states of up to 4 qubits. However, due to their reduced dynamic range, GHZ states of a single size fail to improve the achievable clock precision at the optimal dark time compared to unentangled atoms. Towards overcoming this hurdle, we simultaneously prepare a cascade of varying-size GHZ states to perform unambiguous phase estimation over an extended interval. These results demonstrate key building blocks for approaching Heisenberg-limited scaling of optical atomic clock precision.

arXiv comment22 pages, 7 figures, 2 tables, corrected typo in Eq. (13) and added journal reference

References in corpus (63)

• Quantum sensing
• Probing many-body dynamics on a 51-atom quantum simulator
• Quantum metrology with nonclassical states of atomic ensembles
• Dipole Blockade and Quantum Information Processing in Mesoscopic Atomic Ensembles
• 14-qubit entanglement: creation and coherence
• Logical quantum processor based on reconfigurable atom arrays
• An Optical Lattice Clock with Accuracy and Stability at the $10^{-18}$ Level
• Multi-party entanglement in graph states
• On the Improvement of Frequency Stardards with Quantum Entanglement
• Observation of Rydberg blockade between two atoms
• Quantum metrology from a quantum information science perspective
• Beating the Standard Quantum Limit with Four Entangled Photons
• A quantum network of clocks
• Atomic clock performance beyond the geodetic limit
• An ${}^{27}$Al${}^{+}$ quantum-logic clock with systematic uncertainty below $10^{-18}$
• Generation and manipulation of Schrödinger cat states in Rydberg atom arrays
• Parallel implementation of high-fidelity multi-qubit gates with neutral atoms
• 1.5 $\mu$m lasers with sub 10 mHz linewidth
• Demonstration of multi-qubit entanglement and algorithms on a programmable neutral atom quantum computer
• High-fidelity parallel entangling gates on a neutral atom quantum computer
• Quantum limits in optical interferometry
• Optical clock intercomparison with $6\times 10^{-19}$ precision in one hour
• Resolving the gravitational redshift within a millimeter atomic sample
• A quantum-enhanced search for dark matter axions
• High-Fidelity Entanglement and Detection of Alkaline-Earth Rydberg Atoms
• A compact ion-trap quantum computing demonstrator
• Entanglement-Enhanced Optical Atomic Clock
• Magnetic field sensing beyond the standard quantum limit using 10-spin NOON states
• Magnetic field-induced spectroscopy of forbidden optical transitions with application to lattice-based optical atomic clocks
• Observation of coherent many-body Rabi oscillations
• An experimental and theoretical guide to strongly interacting Rydberg gases
• High-fidelity gates with mid-circuit erasure conversion in a metastable neutral atom qubit
• Optimal metrology with programmable quantum sensors
• How to perform the most accurate possible phase measurements
• Seconds-scale coherence in a tweezer-array optical clock
• High precision differential clock comparisons with a multiplexed optical lattice clock
• Variational spin-squeezing algorithms on programmable quantum sensors
• Realizing spin squeezing with Rydberg interactions in a programmable optical clock
• Erasure conversion in a high-fidelity Rydberg quantum simulator
• True precision limits in quantum metrology
• Microscopy of a scalable superatom
• Demonstrating Heisenberg-limited unambiguous phase estimation without adaptive measurements
• Heisenberg-limited atom clocks based on entangled qubits
• Measures of macroscopicity for quantum spin systems
• A quantum network of entangled optical atomic clocks
• Long-lived Bell states in an array of optical clock qubits
• Bayesian quantum frequency estimation in presence of collective dephasing
• Tweezer-programmable 2D quantum walks in a Hubbard-regime lattice
• $\pi$-Corrected Heisenberg Limit
• Continuous operation of large-scale atom arrays in optical lattices
• Universal quantum operations and ancilla-based readout for tweezer clocks
• Efficient atomic clocks operated with several atomic ensembles
• Lattice-induced photon scattering in an optical lattice clock
• Single-mode optical fiber for high-power, low-loss UV transmission
• Optimizing Rydberg Gates for Logical Qubit Performance
• Multi-ensemble metrology by programming local rotations with atom movements
• On-Line Estimation of Local Oscillator Noise and Optimisation of Servo Parameters in Atomic Clocks
• Effects of molecular resonances on Rydberg blockade
• An atomic boson sampler
• Entanglement-Enhanced Optical Atomic Clocks
• Mid-circuit operations using the omg-architecture in neutral atom arrays
• A tweezer clock with half-minute atomic coherence at optical frequencies and high relative stability
• A quantum processor based on coherent transport of entangled atom arrays

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