Resource reduction for simultaneous generation of two types of continuous variable nonclassical states

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Front. Phys. 16(2), 21502 (2021)

Research article Resource reduction for simultaneous generation of two types of continuous variable nonclassical states Long Tian1,2 , Shao-Ping Shi1 , Yu-Hang Tian1 , Ya-Jun Wang1,2 , Yao-Hui Zheng1,2,† , Kun-Chi Peng1,2 1

State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Opto-Electronics, Shanxi University, Taiyuan 030006, China 2 Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China Corresponding author. E-mail: † [email protected] Received August 1, 2020; accepted September 25, 2020

We demonstrate experimentally the simultaneous generation and detection of two types of continuous variable nonclassical states from one type-0 phase-matching optical parametric amplification (OPA) and subsequent two ring filter cavities (RFCs). The output field of the OPA includes the baseband ω0 and sideband modes ω0 ± nωf subjects to the cavity resonance condition, which are separated by two cascaded RFCs. The first RFC resonates with half the pump wavelength ω0 and the transmitted baseband component is a squeezed state. The reflected fields of the first RFC, including the sideband modes ω0 ± ωf , are separated by the second RFC, construct Einstein–Podolsky–Rosen entangled state. All freedoms, including the filter cavities for sideband separation and relative phases for the measurements of these sidebands, are actively stabilized. The noise variance of squeezed states is 10.2 dB below the shot noise limit (SNL), the correlation variances of both quadrature amplitude-sum and quadrature phase-difference for the entanglement state are 10.0 dB below the corresponding SNL. Keywords squeezed states, entanglement states, continuous variable non-classical states

1 Introduction Continuous variable (CV) nonclassical states, including squeezed and Einstein–Podolsky–Rosen (EPR) entangled states, have been proven to be valuable resources in quantum information technology and have spread a variety of applications including quantum communication [1– 7], quantum metrology [8–12], ultrahigh precision sensing [13–16], and quantum computer [17–19], etc. As central to the quantum system, nonclassical states generation is crucial to improve the quantum system performance. Intensive researches have focused on the improvement of squeezed or entanglement degree [20–27]. On the basis, it is fascinating to generate two types of nonclassical states simultaneously from one optical parametric amplification (OPA) without degrading squeezed or entanglement degree. The optical parametric process has been proven as one of the most successful systems for nonclassical states generation, especially for the generation of high-level squeezed states [28–31], which has continually held the record for the largest amount of quantum noise reduction [32]. In ∗ arXiv:

2009.12079. This article can also be found at http://journal.hep.com.cn/fop/EN/10.1007/s11467020-1012-2.

such a process, a high energy pump photon is converted into a pair of lower energy photons subject