Geometric pathway to scalable quantum sensing

Abstract

Entangled resources enable quantum sensing that achieves Heisenberg scaling, a quadratic improvement on the standard quantum limit, but preparing large scale entangled states is challenging in the presence of decoherence. We present a quantum control strategy using highly nonlinear geometric phase gates for preparing entangled states on spin ensembles which can be used for practical precision metrology. The method uses a dispersive coupling of $N$ spins to a common bosonic mode and does not require addressability, special detunings, or interactions between the spins. Using a control sequence that executes Grover's algorithm on a subspace of permutationally symmetric states, a target entangled resource state can be prepared using $O(N^{5/4})$ geometric phase gates. The geometrically closed path of the control operations ensures the gates are insensitive to the initial state of the mode and the sequence has built-in dynamical decoupling providing resilience to dephasing errors.

5 pages + 6 pages supplementary, 3 + 1 figures

References in corpus (5)

• High-sensitivity diamond magnetometer with nanoscale resolution
• Twin matter waves for interferometry beyond the classical limit
• General optimality of the Heisenberg limit for quantum metrology
• Anyonic interferometry and protected memories in atomic spin lattices
• Arbitrary Dicke-State Control of Symmetric Rydberg Ensembles

Cited by in corpus (17)

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• Short-Depth Circuits for Dicke State Preparation
• Preparing Dicke states in a spin ensemble using phase estimation
• Permutation-invariant quantum coding for quantum deletion channels
• Optimal protocols for quantum metrology with noisy measurements
• Global Variational Quantum Circuits for Arbitrary Symmetric State Preparation
• Efficient preparation of Dicke states
• Robust quantum metrology with explicit symmetric states
• Permutation-Invariant Quantum Codes with Transversal Generalized Phase Gates
• Efficient preparation of entangled states in cavity QED with Grover's algorithm
• Constructing quantum codes from any classical code and their embedding in ground space of local Hamiltonians
• Linear programming bounds for quantum channels acting on quantum error-correcting codes
• Achieving the volume-law entropy regime with random-sign Dicke states
• Robust projective measurements through measuring code-inspired observables
• Deterministic carving of quantum states with Grover's algorithm
• Measurement-free code-switching for low overhead quantum computation using permutation invariant codes
• The Cramér-Rao approach and global quantum estimation of bosonic states