We define a property called nondegeneracy for Bell inequalities, which describes the situation that in setting, if inequality and involved local measurements are fixed, any quantum state with given dimension its orthogonal cannot violate remarkably simultaneously. By choosing proper nondegenerate inequality, we prove an unknown bipartite of dimension, based on measurement statistics only, can p...

We construct a Bell inequality for coincidence probabilities on a three three-dimensional (qutrit) system. We show that this inequality is violated when each observer measures two noncommuting observables, defined by the so-called unbiased six-port beam splitter, on a maximally entangled state of two qutrits. The strength of the violation agrees with the numerical results presented by Kaszlikow...

Determining the quantum circuit complexity of a unitary operation is an important problem in quantum computation. By using the mathematical techniques of Riemannian geometry, we investigate the efficient quantum circuits in quantum computation with n qutrits. We show that the optimal quantum circuits are essentially equivalent to the shortest path between two points in a certain curved geometry...

Using the concept of non-degenerate Bell inequality, we show that quantum entanglement, critical resource for various information processing tasks, can be quantified any unknown state in a semi-device-independent manner, where quantification is based on experimentally obtained probability distributions and prior knowledge dimension only. Specifically, as an application our approach to multi-lev...

Quantum walks play an important role for developing quantum algorithms and simulations. Here, we introduce a first of its kind one-dimensional lazy walk in the ternary domain show equivalence circuit realization logic. Using appropriate logical mapping position space on which walker evolves onto multiqutrit states, present efficient circuits implementation system. We also address scalability te...

High spin magnetic molecules are promising candidates for quantum information processing because they intrinsically have multiple sublevels storage and computational operations. However, due to their susceptibility the environment limitation from selection rule, arbitrary control of state a multilevel system on molecular electron basis has not been realized. Here we exploit photoexcited triplet...

We present a multipartite entanglement measure for N -qudit pure states, using the norm of the correlation tensor which occurs in the Bloch representation of the state. We compute this measure for important class of N -qutrit pure states, namely general GHZ states. We prove that this measure possesses almost all the properties expected of a good entanglement measure, including monotonicity. Fin...

For quantum systems with high purity, we find all observables that, when continuously monitored, maximize the instantaneous reduction in the average linear entropy. This allows us to obtain all locally optimal feedback protocols with strong feedback, and explicit expressions for the best such protocols for systems of size N < or =4. We also show that for a qutrit the locally optimal protocol is...

We show how one can prepare three-qubit entangled states like W-states, Greenberger-Horne-Zeilinger states as well as two-qutrit entangled states using the multiatom two-mode entanglement. We propose a technique of preparing such a multi-particle entanglement using stimulated Raman adiabatic passage. We consider a collection of three-level atoms in Λ configuration simultaneously interacting wit...