Quantum Wheatstone Bridge

Abstract

We propose a quantum Wheatstone bridge as a fully quantum analogue to the classical version. The bridge is a few-body boundary-driven spin chain exploiting quantum effects to gain an enhanced sensitivity to an unknown coupling. The sensitivity is explained by a drop in population of an entangled Bell state due to destructive interference as the controllable coupling approaches the unknown coupling. A simple criteria for the destructive interference is found, and an approximate expression for the width of the drop is derived. The sensitivity to the unknown coupling is quantified using the quantum Fisher information, and we show that the state of the bridge can be measured indirectly through the spin current. Our results are robust towards calibration errors and generic in the sense that several of the current state-of-the-art quantum platforms could be used as a means of realization. The quantum Wheatstone bridge may thus find use in fields such as sensing and metrology using near-term quantum devices.

6+8 pages, 3+3 figures

References in corpus (7)

• Atom Interferometers
• Quantum Thermodynamic Cycles and quantum heat engines
• Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
• Sufficient conditions for thermal rectification in hybrid quantum structures
• Fisher information approach to non-equilibrium phase transitions in quantum XXZ spin chain with boundary noise
• The upside of noise: engineered dissipation as a resource in superconducting circuits
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• Quantum metrology with quantum Wheatstone bridge composed of Bose systems
• Maximal steady-state entanglement in autonomous quantum thermal machines
• Heat-based circuits using quantum rectification
• Digital simulation of zero-temperature spontaneous symmetry breaking in a superconducting lattice processor
• Improving Wheatstone Bridge Sensitivity with Computational Simulations and Bayesian Optimization
• Current circulation near additional energy degeneracy points in quadratic Fermionic networks
• Heat current magnification in Classical and Quantum spin networks
• Collective Quantum Batteries and Charger-Battery Setup in Open Quantum Systems: Impact of Inter-Qubit Interactions, Dissipation, and Quantum Criticality
• Modified Quantum Wheatstone Bridge based on current circulation