Quantum teleportation of qudits by means of generalized quasi-Bell states of light

Abstract

Quantum superpositions of coherent states are produced both in microwave and optical domains, and are considered realizations of the famous "Schrödinger cat" state. The recent progress shows an increase in the number of components and the number of modes involved. Our work creates a theoretical framework for treatment of multicomponent two-mode Schrödinger cat states. We consider a class of single-mode states, which are superpositions of N coherent states lying on a circle in the phase space. In this class we consider an orthonormal basis created by rotationally-invariant circular states (RICS). A two-mode extension of this basis is created by splitting a single-mode RICS on a balanced beam-splitter. We show that these states are generalizations of Bell states of two qubits to the case of N-level systems encoded into superpositions of coherent states on the circle, and we propose for them the name of generalized quasi-Bell states. We show that using a state of this class as a shared resource, one can teleport a superposition of coherent states on the circle (a qudit). Differently from some other existing protocols of quantum teleportation, the proposed protocol provides the unit fidelity for all input states of the qudit. We calculate the probability of success for this type of teleportation and show that it approaches unity for the average number of photons in one component above N 2 . Thus, the teleportation protocol can be made unit-fidelity and deterministic at finite resources.

Quasienergy operators and generalized squeezed states for systems of trapped ions

“…Multimode squeezed states exhibit a large interest for QIP applications, such as quantum state sharing, quantum teleportation and multipartite entangled states [47,89,90,115,116]. It was recently demonstrated that the affine quantization of the cosmological dynamics removes the classical singularity and univocally establishes a unitary evolution.…”

“…Late progress and results illustrate that universal quantum computing (QC) can be generalized to multilevel qudits [90,91]. Trapped ions represent an example of a pristine environment that enables scientists to acquire excellent quantum control [42,43,48,[92][93][94][95], which makes them perfect candidates towards implementing qudit-based quantum information processing (QIP) [47,96,97].…”

Безошибочное Различение Когерентных Состояний Двухмодового Оптического Поля

“…Повышенная различимость сопряженных двухмодовых состояний может значительно повысить вероятность успеха телепортации. В частности, удвоение когерентных состояний используется в протоколе квантовой телепортации на основе обобщенных квазибелловских состояний поля [29], и его замена на удвоение с сопряжением значительно увеличит вероятность успеха, особенно при малом среднем числе фотонов. В-третьих, применение сопряжения амплитуды к сжатым когерентным полям представляет интерес для более эффективной передачи многомодового квантового сигнала [30].…”

Controlled quantum teleportation of an unknown single-qutrit state in noisy channels with memory*

“…A quantum particle can physically have many degrees of freedom, implying that a quantum system may have more than two dimensions. Researchers [26][27][28][29][30] have thus extended QT to operate in high dimensionally, both in theory and in practice. The authors in Ref.…”