The Entanglement Level and the Detection of Quantum Data Transfer Correctness in Short Qutrit Spin Chains

Abstract

The quantum entanglement is an important feature of many protocols in the field of quantum computing. In this paper we evaluate a level of entanglement in short qutrit chains. This evaluation is carried out with use of the CCNR criterion and the concurrence measure. We also present some explicit formulae describing the values of CCNR criterion and concurrence for exemplary short spin chains. Utilizing the obtained results, we indicate that analyzing the level of entanglement allows to detect the noise or deviation in the transfer process, in comparison to the perfect transfer where only operation realizing transfer is present.Keywords quantum information transfer · qubit/qutrit chains · entanglement · ccnr criterion · concurrence · correctness of transfer · perfect transfer · numerical simulations IntroductionA phenomenon of quantum entanglement [12] is a fundamental feature of quantum systems. A presence of quantum entanglement in an examined system indicates system's quantum nature. The entanglement is also present in spin chains which became one of the essential elements of quantum physics and quantum computing [11], [19], [15].Using spin chains to transfer an information was shown for the first time in [5]. An issue of the perfect transfer was widely discussed in [6], [14], [24].

Quantum Coherence Measures for Quantum Switch

“…A significant issue is to trace the operating of quantum switch, especially when distortions (caused by an influence of external environment) of quantum information occur. Correctness of the process may be, for example, verified with use of quantum entanglement phenomenon -some basic information concerning this method was contained in [4] and [22]. In this chapter we suggest utilizing the Coherence measure [3] to evaluate the correctness of switch's operating.…”