Swap-test interferometry with biased ancilla noise
arXiv:2112.02568 · doi:10.1103/PhysRevResearch.6.033074
Abstract
The Mach--Zehnder interferometer is a powerful device for detecting small phase shifts between two light beams. Simple input states -- such as coherent states or single photons -- can reach the standard quantum limit of phase estimation while more complicated states can be used to reach Heisenberg scaling; the latter, however, require complex states at the input of the interferometer which are difficult to prepare. The quest for highly sensitive phase estimation therefore calls for interferometers with nonlinear devices which would make the preparation of these complex states more efficient. Here, we show that the Heisenberg scaling can be recovered with simple input states (including Fock and coherent states) when the linear mirrors in the interferometer are replaced with controlled-swap gates and measurements on ancilla qubits. These swap tests project the input Fock and coherent states onto NOON and entangled coherent states, respectively, leading to improved sensitivity to small phase shifts in one of the interferometer arms. We perform detailed analysis of ancilla errors, showing that biasing the ancilla towards phase flips offers a great advantage, and perform thorough numerical simulations of a possible implementation in circuit quantum electrodynamics. Our results thus present a viable approach to phase estimation approaching Heisenberg-limited sensitivity.
References in corpus (58)
- A variational eigenvalue solver on a quantum processor
- Quantum sensing
- Advances in Quantum Metrology
- Quantum-enhanced measurements: beating the standard quantum limit
- Nonlinear atom interferometer surpasses classical precision limit
- Quantum Fisher information matrix and multiparameter estimation
- Experimental boson sampling in arbitrary integrated photonic circuits
- De Broglie Wavelength of a Nonlocal Four-Photon
- Quantum metrology with entangled coherent states
- A Quantum Rosetta Stone for Interferometry
- The Kerr-Cat Qubit: Stabilization, Readout, and Gates
- Direct estimations of linear and non-linear functionals of a quantum state
- Universal Quantum Estimator
- A quantum-enhanced search for dark matter axions
- Mach-Zehnder Interferometry at the Heisenberg Limit with coherent and squeezed-vacuum light
- A Schrodinger Cat Living in Two Boxes
- Engineering the quantum states of light in a Kerr-nonlinear resonator by two-photon driving
- Implementing a Universal Gate Set on a Logical Qubit Encoded in an Oscillator
- Tracking Photon Jumps with Repeated Quantum Non-Demolition Parity Measurements
- Approaching the Heisenberg limit without single-particle detection
- 3-Wave Mixing Josephson Dipole Element
- Cavity State Manipulation Using Photon-Number Selective Phase Gates
- Quantum state magnification
- Bias-preserving gates with stabilized cat qubits
- Fast Universal Control of an Oscillator with Weak Dispersive Coupling to a Qubit
- A quantum Fredkin gate
- Loschmidt Echo for quantum metrology
- Efficient multiphoton sampling of molecular vibronic spectra on a superconducting bosonic processor
- Stabilized Cat in Driven Nonlinear Cavity: A Fault-Tolerant Error Syndrome Detector
- Entangling Bosonic Modes via an Engineered Exchange Interaction
- Detecting large quantum Fisher information with finite measurement precision
- Phase detection at the quantum limit with multi-photon Mach-Zehnder interferometry
- Quantum-enhanced sensing of a mechanical oscillator
- Trapped-Ion Quantum Simulator: Experimental Application to Nonlinear Interferometers
- Motional Fock states for quantum-enhanced amplitude and phase measurements with trapped ions
- Generation of Large Number-Path Entanglement Using Linear Optics and Feed-Forward
- A device for feasible fidelity, purity, Hilbert-Schmidt distance and entanglement witness measurements
- Superconducting cavity qubit with tens of milliseconds single-photon coherence time
- Parity Measurement is Sufficient for Phase Estimation at the Quantum Cramer-Rao Bound for Path-Symmetric States
- Experimental Preparation of High NOON States for Phonons
- Theoretical and Experimental Perspectives of Quantum Verification
- A perspective on hybrid quantum opto- and electromechanical systems
- Direct, Loss-Tolerant Characterization of Nonclassical Photon Statistics
- Precision Limits in Quantum Metrology with Open Quantum Systems
- Mesoscopic Superposition States Generated by Synthetic Spin-orbit Interaction in Fock-state Lattices
- Efficient experimental estimation of fidelity of linear optical quantum Toffoli gate
- Accurate detection of arbitrary photon statistics
- Cross-Kerr nonlinearity for phonon counting
- Hybrid quantum computation gate with trapped ion system
- Quantum states for Heisenberg-limited interferometry
- Coherent Superposition States as Quantum Rulers
- Ultrasensitive Atomic Spin Measurements with a Nonlinear Interferometer
- Spectral kissing and its dynamical consequences in the squeeze-driven Kerr oscillator
- Quantum non-Gaussianity of multi-phonon states of a single atom
- Single-shot number-resolved detection of microwave photons with error mitigation
- Modular Quantum Computation in a Trapped Ion System
- Phonon-number-resolving Detection of Multiple Local Phonon Modes in Trapped Ions
- Ancilla-Error-Transparent Controlled Beam Splitter Gate