Efficient preparation of entangled states in cavity QED with Grover's algorithm

Abstract

We propose to employ the amplification mechanism of Grover's search algorithm to efficiently prepare entangled states of an ensemble of qubits. The conditional change of sign employed in the algorithm can be implemented by the phase shift of photons scattered on an optical cavity hosting an atomic ensemble. We show that collective Dicke states, GHZ states, and Schrödinger cat superpositions of $N$ atoms may be prepared deterministically by few ($\sim N^{1/4}$) photon scattering events without individual addressing of the atoms.

4 figures, companion long paper 2501.18884, revised with additional fidelity analysis

References in corpus (42)

• Quantum Mechanics helps in searching for a needle in a haystack
• A Rydberg Quantum Simulator
• Entanglement and quantum computation with ions in thermal motion
• Universal digital quantum simulation with trapped ions
• Realization of Three-Qubit Quantum Error Correction with Superconducting Circuits
• High-fidelity parallel entangling gates on a neutral atom quantum computer
• Implementation of a Toffoli Gate with Superconducting Circuits
• Realization of the quantum Toffoli gate with trapped ions
• Dispersive regime of circuit QED: photon-dependent qubit dephasing and relaxation rates
• Spin-spin interaction and spin-squeezing in an optical lattice
• Entanglement with Negative Wigner Function of Three Thousand Atoms Heralded by One Photon
• Multi-bit gates for quantum computing
• Measurement induced entanglement and quantum computation with atoms in optical cavities
• Efficient quantum algorithms for $GHZ$ and $W$ states, and implementation on the IBM quantum computer
• Quantum Circuits assisted by LOCC: Transformations and Phases of Matter
• Entanglement transport and a nanophotonic interface for atoms in optical tweezers
• Deterministic Preparation of Dicke States
• Fast multi-qubit gates by adiabatic evolution in interacting excited state manifolds
• Cavity Carving of Atomic Bell States
• Tavis-Cummings model and collective multi-qubit entanglement in trapped ions
• Probabilistic generation of entanglement in optical cavities
• Seamless high-Q microwave cavities for multimode circuit QED
• Single-step implementation of high fidelity $n$-bit Toffoli gate
• Carving complex many-atom entangled states by single-photon detection
• Efficient Grover search with Rydberg blockade
• A Divide-and-Conquer Approach to Dicke State Preparation
• Dissipative preparation of large W states in Optical Cavities
• Short-Depth Circuits for Dicke State Preparation
• Approximating many-body quantum states with quantum circuits and measurements
• State preparation by shallow circuits using feed forward
• Generating Entangled Spin States for Quantum Metrology by Single-Photon Detection
• Number Partitioning with Grover's Algorithm in Central Spin Systems
• Quantum interference of a single spin excitation with a macroscopic atomic ensemble
• Ultra-low-loss nanofiber Fabry-Pérot cavities optimized for cavity quantum electrodynamics
• Preparing Dicke states in a spin ensemble using phase estimation
• Arbitrary Dicke-State Control of Symmetric Rydberg Ensembles
• Geometric pathway to scalable quantum sensing
• A high-cooperativity confocal cavity QED microscope
• Painting Non-Classical States of Spin or Motion with Shaped Single Photons
• Dicke State Generation and Extreme Spin Squeezing via Rapid Adiabatic Passage
• Global Variational Quantum Circuits for Arbitrary Symmetric State Preparation
• Deterministic carving of quantum states with Grover's algorithm

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