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Binary Homodyne Detection for Observing Quadrature Squeezing in Satellite Links

Christian R. Müller, Kaushik Parasuram Seshadreesan, Christian Peuntinger, Christoph Marquardt

Published Jan 1, 2018• 0 citations
Publisher

Abstract

Optical satellite links open up new prospects for realizing quantum physical experiments over unprecedented length scales. We analyze and affirm the feasibility of detecting quantum squeezing in an optical mode with homodyne detection of only one bit resolution, as is found in satellites already in orbit. We show experimentally that, in combination with a coherent displacement, a binary homodyne detector can still detect quantum squeezing efficiently even under high loss. The sample overhead in comparison to non-discretized homodyne detection is merely a factor of 3.3.

DOI
10.1364/cleopr.2018.th4j.4

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Optical satellite links open up new prospects for realizing quantum physical experiments over unprecedented length scales. We analyze and affirm the feasibility of detecting quantum squeezing in an optical mode with homodyne detection of only one bit resolution, as is found in satellites already in orbit. We show experimentally that, in combination with a coherent displacement, a binary homodyne detector can still detect quantum squeezing efficiently even under high loss. The sample overhead in comparison to non-discretized homodyne detection is merely a factor of 3.3.
Quantum squeezing is the nonlinear quantum mechanical effect by which the Heisenberg uncertainty in one observable can be reduced below the shot noise level at the expense of increased uncertainty in its conjugate observable. We study the detection of optical quadrature squeezing via homodyne detection in satellite links. The propagation of the quantum states over large distances and through a varying gravitational potential offers the possibility to test the fundamental laws of physics at the interface of quantum mechanics and general relativity. We model the task as a binary hypothesis testing problem where the null hypothesis corresponds to the vacuum state and the alternative hypothesis corresponds to the squeezed state. Using the Chernoff bound, we derive the number of individual measurements required to limit the average error probabilities to a given value.
Homodyne detection is a typical continuous-variable measurement scheme, ubiquitously used in quantum optics and quantum information. A conventional homodyne detector performs a projective measurement onto a quadrature of the electromagnetic field mode, thus yielding a continuously distributed measurement outcome. The outcome distribution is the marginal of the Wigner function of the state. Homodyne detection also forms the basis of heterodyne, or “dual homodyne” detection, which corresponds to measuring the Q function of the state.
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Abstract Quantum super-resolution involves resolving two sources below the Rayleigh limit using quantum optics. Such a technique would allow high-precision inter-satellite positioning and tracking on communication and navigation constellations. Due to the size, weight and power constraints typical of low-earth-orbit (LEO) satellites, a simple solution is often preferred. Here, we show that a balanced homodyne detection (BHD) setup using a shaped single-mode local oscillator can achieve super-resolution despite typical photonic losses. We further analyze the impact of a fluctuating and fixed centroid misalignment due to satellite pointing issues, and find that fixed misalignment is comparatively more detrimental to the performance of a BHD setup. Thus, our study provides a practical assessment of BHD to achieve super-resolution on a modern LEO satellite platform. Finally, we discuss how our analysis can be extended to stellar sources for astronomical applications.
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