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Quantum metrology for accelerating future searches for fundamental physics including gravitational-wave observation

Gardner, James

Published Jan 1, 2025• 0 citations
Publisher

Abstract

Searches for fundamental physics such as gravitational waves, dark matter, and quantum gravity are now reaching the quantum limit around a century since the invention of quantum mechanics. To push past the fundamental quantum noise and accelerate the discovery of new physics, we need to understand and exploit the interplay of quantum information and quantum metrology. In this thesis, we advocate for a new perspective on the design of gravitational-wave interferometers and other precision waveform sensors, one centred on optimising the sensitivity through studying and manipulating the relevant quantum information-theoretic quantities with practical considerations for loss and classical noise. We demonstrate this approach with a series of papers proposing various measurement schemes, initial quantum states, and quantum control sequences to achieve the fundamental quantum limits of different waveform estimation problems. We suggest that the ultimate potential sensitivity of present experimental designs remains untapped: present in the capability of the device but not yet accessed. In particular, we show that a quantum advantage exists in sensing non-stationary or stochastic waveform signals or those with a wide range of possible frequencies. We discuss the implications of these results and how to realise them for future searches for fundamental physics.

DOI
10.25911/p637-qy53

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Searches for fundamental physics such as gravitational waves, dark matter, and quantum gravity are now reaching the quantum limit around a century since the invention of quantum mechanics. To push past the fundamental quantum noise and accelerate the discovery of new physics, we need to understand and exploit the interplay of quantum information and quantum metrology. In this thesis, we advocate for a new perspective on the design of gravitational-wave interferometers and other precision waveform sensors, one centred on optimising the sensitivity through studying and manipulating the relevant quantum information-theoretic quantities with practical considerations for loss and classical noise. We demonstrate this approach with a series of papers proposing various measurement schemes, initial quantum states, and quantum control sequences to achieve the fundamental quantum limits of different waveform estimation problems. We suggest that the ultimate potential sensitivity of present experimental designs remains untapped: present in the capability of the device but not yet accessed. In particular, we show that a quantum advantage exists in sensing non-stationary or stochastic waveform signals or those with a wide range of possible frequencies. We discuss the implications of these results and how to realise them for future searches for fundamental physics.
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Quantum computing can transform the field of highly-precise measurement systems in the physical sciences with new levels of sensitivity, resolution, and capability to compute data. Quantum-enhanced measurement systems may also reach levels of precision that are constrained by the inherent quantum noise due to quantum superposition, entanglement and coherence. This opens up to innovations in such research as magnetic field sensing, atomic clock synchronization, and seeing gravitational waves. Quantum computing can be used to retrieve high-fidelity information in noisy data, improvements in signal-to-noise ratios by quantum techniques, like phase estimation and the Quantum Fourier Transform, are possible, and quantum techniques have been demonstrated to surpass classical limits. Moreover, quantum sensors that are integrated into quantum computing structures make real-time feedback and adaptive measurement methods feasible, dynamically optimising system efficiency. Moreover, quantity metrology combined with quantum computing enables sensitive studies in fundamental physics, including experimental tests of quantum gravity or a study of the dark matter. Current developments in error correction and hardware design are rapidly enhancing the usefulness of quantum systems in practice, even in the face of the current technological challenges of qubit decoherence and scalability. This paper discusses the current state of quantum computing in the field of precision measurement and potential future directions, the way that quantum computing might transform the physical sciences and push the boundaries of experimental accuracy.
Optical and optomechanical systems are exploited for quantum technologies to perform highly precise measurements for fundamental physics as well as biological and engineering tasks. Theoretical studies using tools from statistics and quantum information can greatly aid studies of the sensing capabilities of quantum systems and experimental designs. These allow us to quantify the amount of information about a parameter encoded in a quantum state itself and examine how that can be extracted through measurements. In this thesis we show how mechanical squeezing and measurements beyond position can be utilised to improve the precision of wavepacket expansion measurements which can test collapse models of quantum mechanics. Particularly, that squeezing can compensate for the free-fall time which is often the most significant limiting factor in such experiments, and measurements of other quadratures can offer increased precision. We demonstrate that the use of additional optical fields to measure the displacement of a free mass in a radiation-pressure limited interferometer cannot surpass the ultimate precision of the single-mode interferometer. This work applies to the likes of laser-interferometric gravitational wave detectors. Finally, we venture into multi-parameter estimation: we calculate bounds for multi-mode Gaussian states used to estimate many phase shifts and optimise over the input states. In contrast to the—far less experimentally feasible—multi-mode generalisations of N00N states we see no significant improvement when using multi-mode Gaussian states for the task. Given their comparable performance in single-phase estimation this is a new limitation of Gaussian states appearing only at the multi-parameter level.
The 2015 seminal discovery of gravitational waves (GW) from the collision of the binary black holes has boosted interest to development of a more sensitive next generation gravitational-wave interferometers. As the current Advanced LIGO and Virgo detectors are limited by fundamental quantum fluctuations of light in the most of their detection band, the next generation of interferometers must use advanced quantum noise-mitigation methods and quantum non-demolition (QND) techniques to achieve the planned design sensitivity of 10 times better than the current detectors have. In this paper, we attempt to give an overview of some advanced quantum metrology techniques being considered as potential sensitivity boosters for the next generation GW detectors.
Abstract Recent advances in quantum sensing—optical clocks at 5.5 × 10 − 19 systematic uncertainty, frequency-dependent squeezing below the standard quantum limit, quantum magnetometers approaching fundamental sensitivity limits—raise a natural question: can these technologies detect gravitational waves directly, or enhance existing detectors beyond current capabilities? We show that the answer is primarily determined by the coupling mechanism between the gravitational wave and the sensor. Starting from the tidal Hamiltonian in Fermi normal coordinates, we identify three physically distinct mechanisms by which a gravitational wave couples directly to a quantum system, and derive their transducer gains within linearized general relativity and non-relativistic quantum mechanics. Internal atomic coupling (tidal distortion of electronic wavefunctions) yields a transducer gain G A = 2.4 × 10 − 20 , with vanishing first-order energy shifts for all J = 0 clock states—a ∼ 10 35 deficit relative to laser interferometry that exceeds any projected quantum enhancement. Center-of-mass coupling (Doppler shifts from geodesic motion) reaches strain sensitivities of ∼ 10 − 18 , still 10 4 above LISA requirements. Light propagation coupling (phase accumulation over macroscopic baselines) provides the enormous transducer gain that makes laser interferometry—and atom interferometry—viable. For detectors exploiting this third mechanism, we quantify how much improvement quantum sensors can provide through the detector’s noise architecture: LISA’s noise budget is predominantly classical, limiting combined quantum enhancement to E ≈ 1.04 , while ground-based detectors in the shot-noise-dominated regime achieve E = 1.6 – 2.1 . Atom interferometers exploit the same light-propagation mechanism to target the 0.01–10 Hz band between the LISA and LIGO ranges.