(quant-ph/9503007) 36] R. Landauer, \Is quantum mechanics useful?", Proc. Roy. Soc. Lond., (to be published). 37] The only non-trivial one-bit classical invertible operation is 0 1 1 0. 41] Corresponding with the deenition in the previous section, the top two wires contain the input bits x 1 and x 2 , and the third wire contains the input y). 42] The angle-halving of this deenition conforms to ...

We consider a fault model of Boolean gates, both classical and quantum, where some of the inputs may not be connected to the actual gate hardware. This model is somewhat similar to the stuck-at model which is a very popular model in testing Boolean circuits. We consider the problem of detecting such faults; the detection algorithm can query the faulty gate and its complexity is the number of su...

The counter-intuitive and one of the most striking features of the quantum world is entanglement, which has found practical use in the eld of communication and cryptography. Various quantum communication protocols, like qubit teleportation, superdense coding, quantum information splitting, secret sharing, remote state preparation have been theoretically and experimentally demonstrated through e...

The golden collision problem asks us to find a single, special among the outputs of pseudorandom function. This generalizes meet-in-the-middle problems, and is thus applicable in many contexts, such as cryptanalysis NIST post-quantum candidate SIKE. main quantum algorithms for this are memory-intensive, costs memory may be very high. circuit model implies linear cost random access, which annihi...

A controlled interference is proposed to reduce, by two orders of magnitude, the decoherence of a quantum gate for which the gate fidelity is limited by coupling to states other than the /0> and /1> qubit states. This phenomenon is demonstrated in an ultracold neutral atom implementation of a phase gate using qubits based on motional states in individual wells of an optical lattice.

Many synthesis approaches for reversible and quantum logic have been proposed so far. However, most of them generate circuits with respect to simple metrics, i.e. gate count or quantum cost. On the other hand, to physically realize reversible and quantum hardware, additional constraints exist. In this paper, we describe cost metrics beyond gate count and quantum cost that should be considered w...

Three-input TOFFOLI gates are heavily used when performing classical logic operations on quantum data, e.g., in reversible arithmetic circuits. However, in physical implementations TOFFOLI gates are decomposed into six CNOT gates and several one-qubit gates. Though this decomposition has been known for at least 10 years, we provide here the first demonstration of its CNOT-optimality. We first p...