Perfect transfer of quantum states in a network of harmonic oscillators

Abstract

Abstract. This work presents an exactly soluble scheme to address the problem of optimal transfer of quantum states through a set of s harmonic oscillators composing a network with connected ends as a closed quantum circuit. For this purpose we start from a general quadratic Hamiltonian form. The relationship between the parameters of the Hamiltonian, the network size, and the time interval required for such transfer are explicitly shown. Particular physical realizations of this Hamiltonian, transfer of entangled states, including transfer of states at the expense of a quantum entanglement, are also considered.

Nonclassical properties of coherent light in a pair of coupled anharmonic oscillators

“…The result is quite new since the photons in field mode a 1 is generated due to the photons in the field mode a 3 through the mere linear coupling. The result substantiate the phenomena of quantum state transfer which is possible in a chain of harmonic oscillator [29][30][31]. On the other hand, the initial vacuum field in all the three modes remains in the vacuum in spite of the presence of coupling.…”

“…The Hamiltonian (1) in its present form or in a slightly different form [28] might be useful in chemistry since it is established that the two C-H bonds of dihalomethane lead to the model of two quartic anharmonic oscillators coupled through the Jaynes-Cummings [29] type interaction. Of late, we find that the chain of coupled oscillator could be of use in utilizing the quantum state transfer [30][31][32]. Hence, it will be an interesting problem to investigate the effects of the coupling term and hence the quantum state transfer on the squeezing effects of the input coherent light involving three coupled oscillator (i.e.…”

“…k 0 ≠ ) is unable to produce squeezed state of the input coherent light. In other words, the quantum state transfer [29][30][31] realized in a chain of coupled oscillator does not affect the squeezing effects of the input coherent light. In spite of the analytical expressions (22) for the second order variances of various field modes, it is very difficult to predict the squeezing behavior out of it.…”

Complex quantum networks as structured environments: engineering and probing

“…shuttling, the systems. Originally proposed in the early 2000s to facilitate communication between nearby quantum processors [135] it has since been studied in both spin [392][393][394][395][396] and oscillator systems [397][398][399][400][401] with or without some limited control or additional operations. More recently a scheme for transferring logical qubits in quantum dot arrays has been proposed and found to be favorable over shuttling in terms of energy cost [402].…”

Alguns aspectos da óptica quântica usando campos luminosos em modos viajantes

“…Não há ganho nem perda de energia, pois T ∈ [0, 1], R ∈ [0, 1] com T 2 + R 2 = 1 para o suposto SF ideal: o número total de fótons na entrada do SFé o mesmo do total na saida. De fato, o número médio de fótons emergindo nos modos a e b resulta respectivamente ⟨n⟩ a = |T α| 2 e ⟨n⟩ b = |iRα| 2 , cuja somaé |α| 2 (T 2 + R 2 ) = |α| 2 , o mesmo valor médio no 'input': |α| 2 + 0 2 = |α| 2[84,85]. Notamos também que os estados de entrada no SF , |α⟩ a e |0⟩ são estados coerentes, pois o estado de vácuoé um estado coerente trivial, ele satisfazà definição:â|α⟩ = α|α⟩ poisâ|0⟩ = 0|0⟩.…”