Two-mode bosonic quantum metrology with number fluctuations

Correlation matrices of two-mode bosonic systems

Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. We present a detailed analysis of all the algebraic conditions an arbitrary 4 ϫ 4 symmetric matrix must satisfy in ...

Quantum metrology with two-mode squeezed vacuum: parity detection beats the Heisenberg limit.

We study the sensitivity and resolution of phase measurement in a Mach-Zehnder interferometer with two-mode squeezed vacuum (n photons on average). We show that superresolution and sub-Heisenberg sensitivity is obtained with parity detection. In particular, in our setup, dependence of the signal on the phase evolves n times faster than in traditional schemes, and uncertainty in the phase estima...

Quantum Entanglement of Two Bosonic Modes in Two-reservoir Model∗

In the framework of the theory of open systems based on completely positive quantum dynamical semigroups, we give a description of the continuous variable entanglement for a system consisting of two non-interacting bosonic modes embedded in two independent thermal environments. By using the Peres-Simon necessary and sufficient criterion for separability of two-mode Gaussian states, we describe ...

Parity detection in quantum optical metrology without number-resolving detectors

We present a method for directly obtaining the parity of a Gaussian state of light without recourse to photon-number counting. The scheme uses only a simple balanced homodyne technique and intensity correlation. Thus interferometric schemes utilizing coherent or squeezed light and parity detection may be practically implemented for an arbitrary photon flux. Specifically, we investigate a two-mo...

Two-mode quantum phase