{ "id": "1009.3307", "version": "v1", "published": "2010-09-17T01:29:53.000Z", "updated": "2010-09-17T01:29:53.000Z", "title": "Quantum process tomography with coherent states", "authors": [ "Saleh Rahimi-Keshari", "Artur Scherer", "Ady Mann", "Ali T. Rezakhani", "A. I. Lvovsky", "Barry C. Sanders" ], "comment": "18 pages, 2 figures", "journal": "New J. Phys. 13, 013006 (2011)", "doi": "10.1088/1367-2630/13/1/013006", "categories": [ "quant-ph" ], "abstract": "We develop an enhanced technique for characterizing quantum optical processes based on probing unknown quantum processes only with coherent states. Our method substantially improves the original proposal [M. Lobino et al., Science 322, 563 (2008)], which uses a filtered Glauber-Sudarshan decomposition to determine the effect of the process on an arbitrary state. We introduce a new relation between the action of a general quantum process on coherent state inputs and its action on an arbitrary quantum state. This relation eliminates the need to invoke the Glauber-Sudarshan representation for states; hence it dramatically simplifies the task of process identification and removes a potential source of error. The new relation also enables straightforward extensions of the method to multi-mode and non-trace-preserving processes. We illustrate our formalism with several examples, in which we derive analytic representations of several fundamental quantum optical processes in the Fock basis. In particular, we introduce photon-number cutoff as a reasonable physical resource limitation and address resource vs accuracy trade-off in practical applications. We show that the accuracy of process estimation scales inversely with the square root of photon-number cutoff.", "revisions": [ { "version": "v1", "updated": "2010-09-17T01:29:53.000Z" } ], "analyses": { "keywords": [ "quantum process tomography", "photon-number cutoff", "general quantum process", "coherent state inputs", "probing unknown quantum processes" ], "tags": [ "journal article" ], "publication": { "journal": "New Journal of Physics", "year": 2011, "month": "Jan", "volume": 13, "number": 1, "pages": "013006" }, "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011NJPh...13a3006R" } } }