Quantum error correction against photon loss using NOON states
Abstract
The socalled NOON states are quantum optical resources known to be useful especially for quantum lithography and metrology. At the same time, they are known to be very sensitive to photon losses and rather hard to produce experimentally. Concerning the former, here we present a scheme where NOON states are the elementary resources for building quantum errorcorrection codes against photon losses, thus demonstrating that such resources can also be useful to suppress the effect of loss. Our NOON code is an exact code that can be systematically extended from onephoton to highernumber losses. Its loss scaling depending on the codeword photon number is the same as for some existing, exact loss codes such as bosonic and quantum parity codes, but its codeword mode number is intermediate between that of the other codes. Another generalization of the NOON code is given for arbitrary logical qudits instead of logical qubits. While, in general, the final codewords are always obtainable from multimode NOON states through application of beam splitters, both codewords for the onephotonloss qubit NOON code can be simply created from singlephoton states with beam splitters. We give various examples and also discuss a potential application of our qudit code for quantum communication.
 Publication:

Physical Review A
 Pub Date:
 July 2016
 DOI:
 10.1103/PhysRevA.94.012311
 arXiv:
 arXiv:1512.07605
 Bibcode:
 2016PhRvA..94a2311B
 Keywords:

 Quantum Physics
 EPrint:
 15 pages, 3 figures