Abstract: A system and method for characterizing noise in a quantum system includes determining pulse sequences for unitary twirling operations. Twirling processes are applied to a quantum system to calibrate errors and to determine channel parameters. Noise characteristics are determined from calibration data collected to calibrate the errors and to determine the channel parameters. The noise characteristics are characterized to determine if the noise is independent relaxation of qubits or collective relaxation of qubits.

Abstract: Systems and methods to communicate securely includes communicating quantum encryption data on a first wavelength-division multiplexing passive optical network (WDM-PON); and communicating data over separate classical channels of a second WDM-PON, wherein the second WDM-PON synchronizes with the first WDM-PON while providing data communication over the classical channels.

Abstract: Apparatus and methods are disclosed for performing quantum state tomography from the statistics of a collection of measurements, each of which has only two possible outcomes and has the feature of being a measurement of a single qubit. By carefully choosing the measurements it becomes possible to infer the state of a quantum system from the statistics. Moreover, the function which computes the state from the measurement statistics can be computed efficiently in the dimension of the underlying system. It is also possible to explicitly construct such yes/no measurements for all dimensions in which a (+1/?1 valued) Hadamard matrix exists.

Abstract: A system and method for characterizing noise in a quantum system includes determining pulse sequences for unitary twirling operations. Twirling processes are applied to a quantum system to calibrate errors and to determine channel parameters. Noise characteristics are determined from calibration data collected to calibrate the errors and to determine the channel parameters. The noise characteristics are characterized to determine if the noise is independent relaxation of qubits or collective relaxation of qubits.

Abstract: A system and method for dynamical decoupling of a quantum system includes forming a graph including elements to account for decoupling sequence effects represented as nodes in the graph and soft pulses applied being represented as edges in the graph. Sequences which visit edges and nodes in the graph are provided. Binary strings corresponding to the nodes in a coordinate system are mapped using a fixed linear error correcting code. A decoupling method is provided based upon a matrix formed using the error correcting code to determine features of the soft pulses to decouple environmental effects from the quantum system.