{ "id": "1908.04765", "version": "v1", "published": "2019-08-13T17:26:45.000Z", "updated": "2019-08-13T17:26:45.000Z", "title": "Tuning between photon-number and quadrature measurements with weak-field homodyne detection", "authors": [ "G. S. Thekkadath", "D. S. Phillips", "J. F. F. Bulmer", "W. R. Clements", "A. Eckstein", "B. A. Bell", "J. Lugani", "T. A. W. Wolterink", "A. Lita", "S. W. Nam", "T. Gerrits", "C. G. Wade", "I. A. Walmsley" ], "comment": "12 pages, 10 figures; includes Supplemental Material", "categories": [ "quant-ph" ], "abstract": "Variable measurement operators enable the optimization of strategies for testing quantum properties and the preparation of a range of quantum states. Here, we experimentally implement a weak-field homodyne detector that can continuously tune between performing a photon-number measurement and a field quadrature measurement on a quantum state $\\hat{\\rho}$. We combine $\\hat{\\rho}$ with a coherent state $|\\alpha\\rangle$ on a balanced beam splitter, and detect light at both output ports using photon-number-resolving transition edge sensors. We observe that the discrete difference statistics converge to the quadrature distribution of $\\hat{\\rho}$ as we increase $|\\alpha|$. Moreover, in a proof-of-principle demonstration of state engineering, we show the ability to control the photon-number distribution of a state that is heralded using our weak-field homodyne detector.", "revisions": [ { "version": "v1", "updated": "2019-08-13T17:26:45.000Z" } ], "analyses": { "keywords": [ "weak-field homodyne detection", "weak-field homodyne detector", "discrete difference statistics converge", "quantum state", "photon-number-resolving transition edge sensors" ], "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable" } } }