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Physical Review A

Detecting gravitational waves using entangled photon states

Fabrizio Tamburini, Bruce A. Bassett, Carlo Ungarelli A

Published Jul 29, 2008• 7 citations
Publisher

Abstract

We propose a thought technique for detecting gravitational waves (GWs) using Einstein-Podolsky-Rosen photon entangled states. GWs decohere the entangled photon pairs, introduce a relative rotation, and desynchronize Alice's and Bob's reference frames, thus reducing the measured nonlocality of correlated quanta described by Bell's inequalities. Gravitational waves, distorting quantum encryption key statistics away from a pure white noise, act then as shadow eavesdroppers. The deviation from the intrinsic white-noise randomness of a quantum key distribution process can reveal the presence of a gravitational wave by analysis of the emerging color distortions in the key. Photon entangled states provide the key advantage of revealing the polarization rotation introduced by GWs without the need of previously fixed reference frames.

DOI
10.1103/physreva.78.012114

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We propose a thought technique for detecting gravitational waves (GWs) using Einstein-Podolsky-Rosen photon entangled states. GWs decohere the entangled photon pairs, introduce a relative rotation, and desynchronize Alice's and Bob's reference frames, thus reducing the measured nonlocality of correlated quanta described by Bell's inequalities. Gravitational waves, distorting quantum encryption key statistics away from a pure white noise, act then as shadow eavesdroppers. The deviation from the intrinsic white-noise randomness of a quantum key distribution process can reveal the presence of a gravitational wave by analysis of the emerging color distortions in the key. Photon entangled states provide the key advantage of revealing the polarization rotation introduced by GWs without the need of previously fixed reference frames.
We propose a "thought technique" for detecting Gravitational Waves using Einstein-Podolski-Rosen photon Entangled States. GWs decohere the entangled photon pairs, introduce a relative rotation and de-synchronize Alice and Bob's reference frames thus reducing the measured non-locality of correlated quanta described by Bell's inequalities. Gravitational Waves, distorting quantum encryption key statistics away from a pure white noise, act then as shadow eavesdroppers. The deviation from the intrinsic white-noise randomness of a Quantum Key Distribution process can reveal the presence of a gravitational wave by analyzing the emerging color distortions in the key. Photon entangled states provide the key advantage of revealing the polarization rotation introduced by GWs without the need of previously fixed reference frames
We propose the use of heralded photons to detect Gravitational Waves (GWs). Heralded photons are those photons that, produced during a parametric downconversion process, are "labelled" by the detection and counting of coincidences of their correlated or entangled twins and therefore can be discriminated from the background noise, independently of the type of correlation/entanglement used in the setup. Without losing any generality, we illustrate our proposal with a gedankenexperiment, in which the presence of a gravitational wave causes a relative rotation of the reference frames associated to the double-slit and the test polarizer, respectively, of a Walborn's quantum eraser \cite{wal02}. In this thought experiment, the GW is revealed by the detection of heralded photons in the dark fringes of the recovered interference pattern by the quantum eraser. Other types of entanglement, such as momentum-space or energy-time, could be used to obtain heralded photons to be used in the future with high-frequency GW interferometric detectors when enough bright sources of correlated photons will be available.
Gravitational waves (GWs) induce quantum transitions between photon orbital-angular-momentum (OAM) states with amplitudes α±α_{\pm}α±​. Exploiting this effect, we present a displacement-noise-free detection framework that extracts GW information from the OAM Hilbert space. Parametrized quantum state tomography of the GW-induced OAM sidebands enables a single V-shaped detector to resolve all seven wave parameters: the frequency, propagation direction, two polarization amplitudes, and initial phase of each polarization. Direct detection of the sidebands yields a weak signal of approximately 10−15 W10^{-15}\,\mathrm{W}10−15W. We therefore introduce a stronger reference state r∣0>Pr |0>_{\mathrm{P}}r∣0>P​, with r=0.01r=0.01r=0.01, to enhance the detected signal. For an arm length of L=4 mL=4\,\mathrm{m}L=4m, N=160N=160N=160 round trips, a paraxial parameter of γ=0.1γ=0.1γ=0.1, an incident light power of PBS=10 kWP_{\mathrm{BS}}=10\,\mathrm{kW}PBS​=10kW, a wavelength of λopt=1064 nmλ_{\mathrm{opt}}=1064\,\mathrm{nm}λopt​=1064nm, and GW amplitudes of A=10−18A=10^{-18}A=10−18, we estimate sideband transition amplitudes of ∣α±∣∼10−10|α_{\pm}|\sim10^{-10}∣α±​∣∼10−10 and signal powers of order 1 nW1\,\mathrm{nW}1nW, scaling as PBSα±∝PBSANLγ/λoptP_{\mathrm{BS}}α_{\pm}\propto P_{\mathrm{BS}}ANLγ/λ_{\mathrm{opt}}PBS​α±​∝PBS​ANLγ/λopt​. The shot-noise-limited sensitivity floor is Sn1/2=1.6×10−20 Hz−1/2S^{1/2}_n=1.6\times10^{-20}\,\mathrm{Hz}^{-1/2}Sn1/2​=1.6×10−20Hz−1/2. Because the scheme measures OAM transition amplitudes rather than differential arm lengths, it is intrinsically free from displacement noise and provides a broadband probe of GWs, specifically bridging the 0.10.10.1--10 Hz10\,\mathrm{Hz}10Hz mid-frequency gap.
We propose a thought experiment to detect low-energy Quantum Gravity phenomena using Quantum Optical Information Technologies. Gravitational field perturbations, such as gravitational waves and quantum gravity fluctuations, decohere the entangled photon pairs, revealing the presence of gravitational field fluctuations including those more speculative sources such as compact extra dimensions and the sub-millimetric hypothetical low-energy quantum gravity phenomena and then set a limit for the decoherence of photon bunches and entangled pairs in space detectable with the current astronomical space technology.
Gravitational wave detection is a monumental challenge, requiring exceptionally sensitive detectors and sophisticated data analysis techniques. This paper investigates a novel approach to enhance signal detection by utilizing quantum entanglement to create subtle correlations between gravitational wave signals and background noise. We propose a new algorithm, the Quantum Entanglement Correlation Detector (QECD), which leverages entanglement to identify and amplify these correlations, offering a potential breakthrough in detecting faint gravitational wave signals. The core claim is that this algorithm can significantly improve precision and detection rates compared to existing methods. We present a theoretical framework and preliminary implementation of the QECD, demonstrating its potential through simulations and initial experimental considerations. The study explores the implications of quantum entanglement for enhancing gravitational wave detection and addresses key challenges related to data processing and algorithm design.