Temperature-independent teleportation of qubits in Davies environments

Abstract

A quantum channel teleporting qubits from Alice to Bob is considered in which the bipartite resource state shared by Alice and Bob is affected by bilocal thermal noise treated in rigorous Davis approximation. Specific conditions are identified where the fidelity of the teleportation channel can be either independent of temperature or even enhanced by the temperature of the environment.

Quantum Two Player Game in Thermal Environment

“…Here we adopt notation of Ref. [ 27 ] (instead of that used in Ref. [ 16 ]) and recapitulate an explicit form of Davies maps applied to the initial state given by Eq (8) : and we consider three possibilities: where U A , B denotes Hamiltonian dynamics of a noiseless qubit and the Davies map D = D A , B ( p , A , G , ω , t ) reads as follows [ 16 ]: or, in terms of coherence vector formalism adopted in Ref.…”

Distinguishing quantum states using time-traveling qubits in the presence of thermal environments

“…It is assumed that only the CV qubit in χ CB labeled by C is coupled to the thermal Davies environment. Let us notice formal analogy of this scenario with a recently studied thermally modified teleportation protocol [18] or entanglement swapping [21]. In particular…”

“…As the Davies semigroups can be rigorously and consistently derived from microscopic models of open systems they sat-isfy thermodynamic and statistical-mechanical properties of open quantum systems such as the detailed balance condition and the Gibbs canonical distribution in the stationary regime [17]. The Davies method has been successfully used in recent studies of various problems in quantum information and physics of open quantum systems including teleportation [18], entanglement dynamics [19], quantum discord [20,21], properties of geometric phases of qubits [22], thermodynamic properties of nano-systems [23] and quantum games [24]. In this paper we consider only certain elements of Davies semigroups: the Davies maps D = D(p, A, G, ω, t) which acts as follows [25]:…”

Quantum cloning disturbed by thermal Davies environment

“…As the Davies semigroups can be rigorously and consistently derived from microscopic models of open systems, they recover most of the desired thermodynamic and statistical-mechanical properties such as the detailed balance condition and the Gibbs canonical distribution in the stationary regime [11]. The Davies method has been successfully used in recent studies of various problems in quantum information and physics of open quantum systems including teleportation [15], entanglement dynamics [16], quantum discord [17,18] or properties of geometric phases of qubits [19] and thermodynamic properties of nano-systems [20]. Here, instead of exploring the full power of the Davies semigroups, we consider only their certain elements: Davies maps [13].…”

“…From Eqs. (12) to (15), it follows that in such a setting an output of the cloning machine is independent of G, i.e., on a dephasing.…”