Quantum coherence of a single photon

P. Ben Dixon, Gregory A. Howland, Mehul Malik +3 more

We study transverse spatial coherence of approximately localized single-photon states. We demonstrate nonlocal control over single-photon spatial coherence via projective measurements of an entangled twin and provide a theoretical interpretation from quantum coherence theory. Our results show that the spatial coherence of a single-photon state behaves similarly to that of a classical optical field, although the coincidence measurement adds a degree of freedom.

R.W. Smith

P. Ben Dixon, Gregory A. Howland, Mehul Malik +4 more

Optical spatial coherence, characterizing correlations between optical fields at distinct points, plays a key role in the understanding of classical and quantum phenomena. Recent decades’ technological advances, such as powerful lasers and fast, efficient photon counters enabled the study of nonclassical optical fields. Here, we describe single photon partial coherence, providing a theoretical model from quantum coherence theory and experimental observation. In particular, we make clear the role of quantum birth-zones for SPDC sources. These birth-zones are the quantum analog of classical emitters; they characterize the heralded single photon’s coherence properties. We make the first observation of the predicted inversion of the single photon degree of coherence.

L. Mandeļ, E. Wolf

Richard M. Sillitto

Jiang, Si-Qi, Xing, Hai-Jun, Yang, Li-Ping

Single-photon addition and subtraction are fundamental operations in quantum information processing. Traditionally, the behavior of a single-photon adder (SPA) and single-photon subtractor (SPS) has been theoretically described using creation and annihilation operators, respectively. However, we demonstrate that this ladder-operator-based description contains significant theoretical flaws. To address these issues, we develop a theoretical framework based on Kraus operators, applicable to both coherent and incoherent SPAs and SPSs. Furthermore, we propose a method for realizing deterministic SPAs and SPSs of a cavity mode using three-level atoms. We analyze the effects of these operations on various quantum states. Additionally, we demonstrate that the use of a control pulse could enhance the performance of SPAs and SPSs, effectively preserving the quantum coherence of the resulting photon state.