The results presented in the thesis show how to convert a statistically binding but computationally concealing quantum bit commitment scheme into a computationally binding but statistically concealing scheme. For a security parameter n, the construction of the statistically concealing scheme requires O(n) executions of the statistically binding scheme. As a consequence of the reduction, statist...

We develop generalized bounds for quantum single-parameter estimation problems for which the coupling to the parameter is described by intrinsic multisystem interactions. For a Hamiltonian with k-system parameter-sensitive terms, the quantum limit scales as 1/Nk, where N is the number of systems. These quantum limits remain valid when the Hamiltonian is augmented by any parameter-independent in...

Abstract We consider quantum chaos diagnostics of the variational circuit states at random parameters and explore their connection to expressibility optimizability. By measuring operator spreading coefficient eigenvalue spectrum modular Hamiltonian reduced density matrix, we identify emergence universal matrix ensembles in high-depth states. The that use spectrum, e.g. entanglement entropy, tur...

The quantum approximate optimization algorithm (QAOA) has become a cornerstone of contemporary applications development. In QAOA, circuit is trained---by repeatedly adjusting parameters---to solve problem instance. Several recent findings have reported parameter concentration effects in QAOA and their presence one folklore: while empirically observed, the concentrations not been defined analyti...

In this paper, the quantum chemistry calculations related to the structural parameter of the three anions and the resulting complexes with glycine and alanine have been performed. The calculations were carried out using the HF and DFT method and in the base series 6-31G *. Natural Transplantation Orbital (NBO), hybrid capacity for bindings and is obtained. The ratio of the internal electrons, V...