N-qubit quantum teleportation, information splitting and superdense coding through the composite GHZ–Bell channel

Abstract

We introduce a general odd qubit entangled system composed of GHZ and Bell pairs and explicate its usefulness for quantum teleportation, information splitting and superdense coding. After demonstrating the superdense coding protocol on the five qubit system, we prove that '2N + 1' classical bits can be sent by sending 'N +1' quantum bits using this channel. It is found that the five-qubit system is also ideal for arbitrary one qubit and two qubit teleportation and quantum information splitting (QIS). For the single qubit QIS, three different protocols are feasible, whereas for the two qubit QIS, only one protocol exists. Protocols for the arbitrary N -qubit state teleportation and quantum information splitting are then illustrated.

Quantum teleportation with identical particles

“…Indeed, accurate phase estimation is achieved with states that sensitively vary under phase shifts, and corresponds to a Heisenberg-like relation where the larger the variance of relative occupation number, the smaller the accuracy of the phase. Moreover, the counterpart of NOON states in first quantization, i.e., the so-called GHZ states, are used to perfectly teleport states of distinguishable particles in low dimensional Hilbert spaces [93][94][95][96]. …”

Quantum Teleportation of an Arbitrary N-qubit State via EPR Channels

“…When it comes to N-qubit states, there are schemes that can only teleport certain kinds of states, such as N-qubit state of generalized Bell-type [12], N-qubit W state [13], N-qubit W-like state [14] and N-qubit GHZ state [15]. There are also research on the teleportation of an arbitrary N-qubit state employing various channels, e.g., non-maximally entangled Bell state channel [16], the composite GHZ-Bell channel [17], genuine multipartite entanglement quantum channel [18,19] and N pairs of EPR channel [7,20]. In [16], the scheme succeeds with unit fidelity but less than unit probability.…”

“…In [16], the scheme succeeds with unit fidelity but less than unit probability. All the schemes in [7,[17][18][19][20] can accomplish the teleportation deterministically.…”

“…However, in [17][18][19], multi-particle joint measurement is required and no analytical expression of the criterion is provided. In [7], N Bell state measurements are required but no proof was provided.…”

Quantum Dense Coding by Using a Genuine Four-atom Entangled State in Cavity QED

“…Quantum entanglement is a fundamental element for quantum information processing, such as quantum teleportation [1], quantum dense coding [2], quantum state sharing [3][4][5][6][7][8][9] and so on. Since Bennett and Wiesner [10] presented the first protocol of quantum dense coding through an entangled channel of Einstein-Podolsky-Rosen states in 1992, various quantum dense coding protocols have been demonstrated with the help of multi-particle entangled states, such as GHZ-type state [11], a four-qubit non-maximally entangled state [12], and cluster state [13][14][15].…”