In this chapter, we focus on finite two-player non-zero-sum stochastic games. Following the notations used in earlier chapters, we let S be the state space, and A and B be the action sets of players 1 and 2 respectively. All three sets S,A and B are finite. Generic elements of S, A and B will be denoted by z, a and b. We let p(·|z, a, b) be the transition function of the game and r : S × A× B →...

Quantum spin networks can be used to transport information between separated registers in a quantuminformation processor. To find a practical implementation, the strict requirements of ideal models for perfect state transfer need to be relaxed, allowing for complex coupling topologies and general initial states. Here we analyze transport in complex quantum spin networks in the maximally mixed s...

We present a method that implements directional, perfect state transfers within a branched spin network by exploiting quantum interferences in the time domain. This method provides a tool for isolating subsystems from a large and complex one. Directionality is achieved by interrupting the spin-spin coupled evolution with periods of free Zeeman evolutions, whose timing is tuned to be commensurat...

In this paper, we present an abstract model of continuous-time quantum walk (CTQW) based on Bernoulli functionals and show that the has perfect state transfer (PST), among others. Let [Formula: see text] be space square integrable complex-valued functionals, which is infinitely dimensional. First, construct a given subspace self-adjoint operator via canonical unitary involutions text], by analy...

We analyze the transfer of a quantum state between two resonators connected by a superconducting transmission line. Nearly perfect state-transfer efficiency can be achieved by using adjustable couplers and destructive interference to cancel the back-reflection into the transmission line at the receiving coupler. We show that the transfer protocol is robust to parameter variations affecting the ...