This thesis addresses the connections between quantum entanglement and quantum dynamics. The central theme is that there is a resource contained in interactions between quantum systems, as described by Hamiltonians, Unitary operators and measurements, that can be classified and quantified in a similar way to entanglement in quantum states. In particular, the problem of using an interaction Hami...

—A MIMO backscatter RFID system consists of three operational ends: the query end (with M reader transmitting antennas), the tag end (with L tag antennas) and the receiving end (with N reader receiving antennas). Such an M × L × N setting in RFID can bring spatial diversity and has been studied for STC at the tag end. Current understanding of the query end is that it is only an energy provider ...

We consider the problem of digital communication in a Rayleigh flat-fading environment using a multiple-antenna system, when the channel state information is available neither at the transmitter nor at the receiver. It is known that at high SNR, or when the coherence interval is much larger than the number of transmit antennas, a constellation of unitary matrices can achieve the capacity of the...

As one of the most striking features of quantum phenomena [1], quantum entanglement has been identified as a non-local resource for quantum information processing such as quantum computation [2, 3], quantum teleportation [4], dense coding [5], quantum cryptographic schemes [6]entanglement swapping [7], and remote state preparation (RSP) [8, 9, 10, 11] etc.. As a matter of fact, the degree of en...

—A MIMO backscatter RFID system consists of three operational ends: the query end (with M reader transmitting antennas), the tag end (with L tag antennas) and the receiving end (with N reader receiving antennas). Such an M × L × N setting in RFID can bring spatial diversity and has been studied for STC at the tag end. Current understanding of the query end is that it is only an energy provider ...

‎We first give bounds for domains where the unitarizabile subquotients can show up in the parabolically induced representations of classical $p$-adic groups‎. ‎Roughly‎, ‎they can show up only if the‎ ‎central character of the inducing irreducible cuspidal representation is dominated by the‎ ‎square root of the modular character of the minimal parabolic subgroup‎. ‎For unitarizable subquotients...

‎In this paper‎, ‎we characterize the class of orthogonality preserving operators on an infinite-dimensional Hilbert space $H$ as scalar multiples of unitary operators between $H$ and some closed subspaces of $H$‎. ‎We show that any circle (centered at the origin) is the spectrum of an orthogonality preserving operator‎. ‎Also‎, ‎we prove that every compact normal operator is a strongly orthogo...

The main goal behind coordinate transformation (warping) of a Linear Time Invariant (LTI) system is to represent its signals in terms of new basis functions that better suit the application in hand. Unitary operators simplify the analysis considerably; therefore, they are used to derive the relations between variables in the original and warped domains. These relations show that an LTI system c...

We investigate consequences of allowing the Hilbert space of a quantum system to have a time-dependent metric. For a given possibly nonstationary quantum system, we show that the requirement of having a unitary Schrödinger time-evolution identifies the metric with a positive-definite (Ermakov-Lewis) dynamical invariant of the system. Therefore the geometric phases are determined by the metric. ...