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Il Nuovo Cimento B

Detecting gravitational waves with a heralded-photon quantum eraser

Fabrizio Tamburini, Clovis Jacinto de Matos, Josep Maria Perdigués Armengol, C. N. Colacino

Published May 1, 2009• 4 citations
Publisher
DOI
10.1393/ncb/i2009-10776-8

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Displacement-noise-free gravitational-wave detector using quantum tomography of photon orbital angular momentum states

Haorong Wu, Xilong Fan, Lixiang Chen

Gravitational waves (GWs) induce quantum transitions between photon orbital-angular-momentum (OAM) states with amplitudes $α_{\pm}$. 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 $10^{-15}\,\mathrm{W}$. We therefore introduce a stronger reference state $r |0>_{\mathrm{P}}$, with $r=0.01$, to enhance the detected signal. For an arm length of $L=4\,\mathrm{m}$, $N=160$ round trips, a paraxial parameter of $γ=0.1$, an incident light power of $P_{\mathrm{BS}}=10\,\mathrm{kW}$, a wavelength of $λ_{\mathrm{opt}}=1064\,\mathrm{nm}$, and GW amplitudes of $A=10^{-18}$, we estimate sideband transition amplitudes of $|α_{\pm}|\sim10^{-10}$ and signal powers of order $1\,\mathrm{nW}$, scaling as $P_{\mathrm{BS}}α_{\pm}\propto P_{\mathrm{BS}}ANLγ/λ_{\mathrm{opt}}$. The shot-noise-limited sensitivity floor is $S^{1/2}_n=1.6\times10^{-20}\,\mathrm{Hz}^{-1/2}$. 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 $0.1$--$10\,\mathrm{Hz}$ mid-frequency gap.

gr-qcCross-listedarXiv:2610.21112•Oct 16, 2026
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.
We present a fully quantum field-theoretic framework for gravitational wave (GW) detection, describing the interaction as inelastic photon-graviton scattering. We demonstrate that for \textit{a coherent graviton state}, this microscopic model explicitly reproduces the standard classical geometric-optics time delay, providing a rigorous consistency test of the correspondence limit. We propose a detection scheme based on Hong-Ou-Mandel interference, where the GW-induced spectral shifts render entangled photon pairs distinguishable. This encodes the gravitational signal into the modulation of photon coincidence rates --- a quantum observable robust against laser intensity noise. Furthermore, we show that non-classical graviton states, such as squeezed states, induce unique decoherence signatures, establishing theoretical bounds on gravitational decoherence and defining the operational limits for probing the quantum nature of gravity.
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.