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Chapman & Hall/CRC eBooks

Teleportation of Single-qubit Quantum States

Binayak Samadder Choudhury, Soumen Samanta

Published Dec 10, 2025• 0 citations
Publisher

Abstract

In this chapter, the single qubit teleportation process is presented. The process is described elaborately. It forms the backbone of understanding of the rest of the protocols presented in the following chapters.
DOI
10.1201/9781003561439-8

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Teleportation Protocol of Multi-qubit States

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This chapter explicitly deals with the transfer protocols of arbitrary unknown quantum states that involve two and three qubits. There is a large literature on the teleportation of multi-qubit states of various kinds which follow the basic techniques of the protocols described here [ 16 , 22 , 23 , 50 , 83 , 94 , 97 , 99 , 112 , 130 , 133 , 158 , 187 , 191 , 194 ].

Chapman & Hall/CRC eBooks•Dec 10, 2025•0 citations

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Quantum communication protocols

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Abstract This chapter introduces three important quantum communication protocols: quantum teleportation, superdense coding, and quantum key distribution (QKD). The first two use entanglement as a resource, in the case of teleportation to transmit a quantum state and in the case of superdense coding to transmit two (classical) bits using a single qubit. QKD uses the non-determinism of quantum measurements to achieve unconditionally secure communication, and the chapter presents the original QKD protocol, namely BB84.

•Dec 8, 2025•0 citations
With the advent of more quantum computing applications, it is imperative to provide developers with a set of metrics to determine how much trust they can place in the execution of their programs. In this study, we propose a novel protocol based on quantum teleportation to systematically evaluate the performance of quantum circuits and quantify their execution reliability. Our protocol consists of three parts: the payload, composed of entangled qubits with random gates applied to each wire; the bridge, which corresponds to the teleportation-inspired protocol; and an inverse payload operation, designed to return the circuit to its initial state. We validated the algorithm by elaborating its mathematical framework, followed by a comparative analysis with simulation results using Qiskit AerSimulator and ultimately through an execution on the IBM quantum and Rigetti services. A key aspect of our methodology was to set the circuit transpilation to its lowest optimization level (level 0). We recognize that even without aggressive optimization, randomly generated gates can form self-canceling sequences. As a result, our analysis correlates the pre-runtime metrics of the final, minimally-transpiled circuit (such as its actual depth and gate count) with post-runtime results (such as success rate). This approach reveals significant correlations and offers developers quantitative metrics to assess both the reliability of quantum circuit execution and scalability limitations in their applications.
We implement the Wormhole-Inspired Teleportation Protocol (WITP) in a pair of coupled Sachdev-Ye-Kitaev (SYK) models prepared in a thermofield-double state, forming a quantum analog of a traversable wormhole. By varying parameters (temperature $\ensuremath{\beta}$, coupling strength ggg, insertion site, and traversal time ttt) we compare the teleportation fidelity against an analogous protocol using a transverse-field Ising model. We find that the chaotic SYK system consistently yields higher teleportation fidelity than the transverse field Ising model, reflecting the SYK Hamiltonian's pronounced many-body chaos. These enhanced fidelities arise from the SYK's effectively random-matrix dynamics, which improve the coherent information transfer through the wormhole channel. Unlike prior single-qubit benchmarks based on $|0\ensuremath{\rangle}$ inputs, the present work defines and evaluates a genuine quantum-state fidelity for a maximally entangled two-qubit Bell input, using a Pauli-stabilizer formalism that captures entanglement-phase coherence. Our central result is achieved by teleporting a maximally entangled two-qubit Bell state through the wormhole. We introduce a Pauli-stabilizer fidelity measure for the two-qubit message and demonstrate that the Bell-state protocol produces a substantial fidelity boost compared to single-qubit teleportation. Furthermore, we examine the time-resolved fidelity for both single-qubit and two-qubit messages, revealing distinct fluctuation patterns that deepen our understanding of dynamical many-body teleportation processes. Finally, we present an argument that our Bell-state WITP simulations provide a concrete numerical testbed for aspects of the ER = EPR conjecture, by mapping entanglement structure and thermal/coupling dependence to traversability diagnostics in an emergent wormhole geometry.
Abstract This chapter introduces three important quantum communication protocols: quantum teleportation, superdense coding, and quantum key distribution (QKD). The first two use entanglement as a resource, in the case of teleportation to transmit a quantum state and in the case of superdense coding to transmit two (classical) bits using a single qubit. QKD uses the non-determinism of quantum measurements to achieve unconditionally secure communication, and the chapter presents the original QKD protocol, namely BB84.