Abstract
The statistical properties of photons are fundamental to investigating quantum mechanical phenomena using light. In multiphoton, two-mode systems, correlations may exist between outcomes of measurements made on each mode which exhibit useful properties. Correlation in this sense can be thought of as increasing the probability of a particular outcome of a measurement on one subsystem given a measurement on a correlated subsystem. Here, we show a statistical property we call “discorrelation”, in which the probability of a particular outcome of one subsystem is reduced to zero, given a measurement on a discorrelated subsystem. We show how such a state can be constructed using readily available building blocks of quantum optics, namely coherent states, single photons, beam splitters and projective measurement. We present a variety of discorrelated states, show that they are entangled, and study their sensitivity to loss.
Highlights
The statistical properties of photons are fundamental to investigating quantum mechanical phenomena using light
We show a statistical property we call “discorrelation”, in which the probability of a particular outcome of one subsystem is reduced to zero, given a measurement on a discorrelated subsystem. We show how such a state can be constructed using readily available building blocks of quantum optics, namely coherent states, single photons, beam splitters and projective measurement
The first is the displacement of a single photon by a coherent state on a beam splitter, producing an entangled state[29,30,31,32]
Summary
Evan Meyer-Scott[1], Johannes Tiedau[1], Georg Harder[1], Lynden K. We show a statistical property we call “discorrelation”, in which the probability of a particular outcome of one subsystem is reduced to zero, given a measurement on a discorrelated subsystem We show how such a state can be constructed using readily available building blocks of quantum optics, namely coherent states, single photons, beam splitters and projective measurement. We show how discorrelated multidimensional photon statistics can be generated nonlocally using a single shared two-dimensional state This method is based on the coherent superposition of photon addition and subtraction, which has been proposed for generating nonclassical states[39,40,41,42,43,44] and distilling entanglement in continuous-variable quantum states[45,46]. Methods for creating discorrelation are closely related as they both rely on the modification of photon number distributions due to the interference of Fock states with other continuous-variable states
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