1Clarendon Laboratory, University of Oxford, Parks Road, Oxford, OX1 3PU, UK
2Russian Quantum Center, 100 Novaya St., Skolkovo, Moscow 143025, Russia
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Abstract
When two equal photon-number states are combined on a balanced beam splitter, both output ports of the beam splitter contain only even numbers of photons. Consider the time-reversal of this interference phenomenon: the probability that a pair of photon-number-resolving detectors at the output ports of a beam splitter both detect the same number of photons depends on the overlap between the input state of the beam splitter and a state containing only even photon numbers. Here, we propose using this even-parity detection to engineer quantum states containing only even photon-number terms. As an example, we demonstrate the ability to prepare superpositions of two coherent states with opposite amplitudes, i.e. two-component Schrödinger cat states. Our scheme can prepare cat states of arbitrary size with nearly perfect fidelity. Moreover, we investigate engineering more complex even-parity states such as four-component cat states by iteratively applying our even-parity detector.
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Cited by
[1] Jacob Hastrup, Jonas Schou Neergaard-Nielsen, and Ulrik Lund Andersen, “Deterministic generation of a four-component optical cat state”, Optics Letters 45 3, 640 (2020).
[2] Huiping Zhan, Gaoxiang Li, and Huatang Tan, “Preparing macroscopic mechanical quantum superpositions via photon detection”, arXiv:1910.04608.
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