Noisy Qutrit Channels

Abstract

We present an analysis of spontaneous emission in a 3-level atom as an example of a qutrit state under the action of noisy quantum channels. We choose a 3-level atom with V-configuration to be the qutrit state. Gell-Mann matrices and a generalized Bloch vector (8-dimensional) are used to describe the qutrit density operator. Using the time-evolution equations of atomic variables we find the Kraus representation of spontaneous emission quantum channel (SE channel). Furthermore, we consider a generalized Werner state of two qutrits and investigate the separability condition. We give similar analysis of spontaneous emission for qubit channels. The influence of spontaneous emission on the separability of Werner states for qutrit and qubit states is compared.

Singular Value Decomposition and Matrix Reorderings in Quantum Information Theory

“…For example, the transposition map can be implemented as Following [31] (see also [32], QI package provides a definition of a spontaneous emission channel for a three-level system (qutrit).…”

Disentanglement and decoherence in a pair of qutrits under dephasing noise

“…Noise can give rise to a loss of entanglement over a broad range of quantum states. Recently, the relationship between dephasing-decoherence and bipartite entanglement reduction under basis-specific classical noise has been studied in two-qubit systems [1][2][3][4][5][6][7] and in pairs of qutrit systems [8][9][10]; this relationship has been studied in two-qubit systems under quantum dissipative vacuum noise as well [11]. For example, it has been noted that initially entangled two-qubit systems can suffer 'entanglement sudden death', in which a two-qubit system may suddenly lose entanglement in a finite time, even though each qubit itself maintains its quantum coherence [3,4].…”

Prospects for Simulating a Qudit Based Model of (1+1)d Scalar QED

“…While many noise channels are available such as decay channels that correspond to spontaneous decays from higher excited states [87] and Pauli channels [88] which correspond to "bit"…”