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Characterizing Quantum Teleportation as a Noisy Channel via Quantum Process Tomography on IBM Hardware

Bellarte, Domenico

Published Dec 18, 2025• 0 citations
Publisher

Abstract

Quantum teleportation is a fundamental primitive of quantum information theory, enabling the transfer of an unknown qubit state by means of shared entanglement and classical communication. In an ideal system the teleportation protocol implements the identity quantum channel. In real quan- tum hardware, however, the process becomes a noisy quantum channel. In this work, we reconstruct and analyze the teleportation channel using Quantum Process Tomography (QPT) on three platforms: (i) the AerSimulator (reference ideal channel), and (ii) the real IBM ibm_fez and ibm_torino quantum processors (Heron family). We compute Choi matrices, process fidelities, Choi-state purity, Pauli-noise decomposition, and CP/TP consis- tency tests. We further assess the impact of enforcing physicality (CP/TP) on the reconstructed process, providing a reproducible workflow for hardware-level channel characterization. Results highlight a strong degradation on real hardware, dominated by dephasing and depolarizing-like contributions, and show that raw linear-inversion tomography may violate complete positivity unless physical constraints are enforced.

DOI
10.5281/zenodo.17981068

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Quantum teleportation is a fundamental primitive of quantum information theory, enabling the transfer of an unknown qubit state by means of shared entanglement and classical communication. In an ideal system the teleportation protocol implements the identity quantum channel. In real quan- tum hardware, however, the process becomes a noisy quantum channel. In this work, we reconstruct and analyze the teleportation channel using Quantum Process Tomography (QPT) on three platforms: (i) the AerSimulator (reference ideal channel), and (ii) the real IBM ibm_fez and ibm_torino quantum processors (Heron family). We compute Choi matrices, process fidelities, Choi-state purity, Pauli-noise decomposition, and CP/TP consis- tency tests. We further assess the impact of enforcing physicality (CP/TP) on the reconstructed process, providing a reproducible workflow for hardware-level channel characterization. Results highlight a strong degradation on real hardware, dominated by dephasing and depolarizing-like contributions, and show that raw linear-inversion tomography may violate complete positivity unless physical constraints are enforced.
Quantum Process Tomography (QPT) is a fundamental technique to characterize quantum operations. However, its precision gets hampered while running in real quantum hardware due to inherent noise. In our study, we propose a post-processing method using principal component analysis (PCA) to improve the fidelity of noisy gates. We first implemented the standard QPT on various gates ranging from single-qubit to three-qubit in simulation under depolarizing error scenarios and on Fake IBM_Brisbane and ran single and two-qubit gates (H, CX, and SQSCZ) on real quantum hardware (IBM_Brisbane); the three-qubit CCX is evaluated in simulation only. After that, the reconstructed Choi matrix is decomposed into real and imaginary components. Then, by applying a PCA-based approach, we show steady improvements in a variety of quantitative performance indicators in addition to process fidelity while also maintaining the physical constraints of the Choi matrix. Additionally, PCA performed better or similarly when compared to CVX-based maximum-likelihood reconstruction and linear inversion. Although PCA improves QPT reconstructions, it is unable to address the fundamental scalability issue of QPT since it cannot overcome the exponential scaling with qubit number.
This work presents a simulation-based study of quantum teleportation for secure communication under ideal, noisy, and adversarial conditions using IBM’s Qiskit framework and the Qiskit Aer simulator. The study begins with the verification of Bell-state entanglement to establish quantum correlation, followed by the implementation of a standard three-qubit quantum teleportation protocol. The teleportation system is evaluated across four experimental scenarios: (i) ideal noiseless teleportation, (ii) depolarizing noise environments, (iii) basis disturbance attacks using unauthorized Hadamard operations, and (iv) entanglement injection attacks introducing an external qubit into the communication channel. Each scenario is analyzed using measurement statistics, probability distributions, and state behavior of the receiver qubit. The results demonstrate that quantum teleportation achieves high fidelity under ideal conditions, while environmental noise introduces statistical degradation in state reconstruction. Furthermore, adversarial interference significantly disrupts teleportation performance, with basis disturbance producing near-uniform probability distributions and entanglement injection altering receiver-side measurement statistics. This study highlights both the robustness and vulnerability of quantum communication protocols and emphasizes the importance of noise mitigation, entanglement security, and attack detection mechanisms in future quantum networking systems. The work is entirely simulation-based and implemented using Python and Qiskit.
Quantum teleportation (QT) is the principal method of transferring quantum states from one place to another without actually revealing which quantum state is being transferred. This protocol makes use of entangled states shared between the sending and receiving stations, and two bits of classical information. However, in real communication systems which are used to carry the entangled state, a typical noise results in the degradation of the fidelity of teleported states. The protocol of controlled quantum teleportation (CQT) represents an extension to the standard quantum teleportation (SQT) with includes the third entity, so called “controller“, and is based on sharing of a tripartite entangled quantum state. The role of controller is to permit the fidelity of teleported state to be higher than it can be done using only classical resources. As a typical noise has detrimental effect on the performance of quantum teleportation protocols, In this work, a study of different noisy channels, which can exhibit the Markovian or non-Markovian dynamics is presented. Each noisy channel is characterized by the teleportation fidelity and by the control power.
Noise is a major challenge in quantum computing, affecting the reliability of quantum protocols. In this work, we analytically study the impact of various noise processes, such as depolarization, bit flip, and phase flip, on the quantum state teleportation protocol. Each noise process is modeled as a quantum channel and is applied individually to all qubits after the corresponding unitary operations to simulate realistic conditions. We evaluate the fidelity between the ideal and noisy teleported states to quantify the effect of noise. Our analysis shows that the fidelity decreases polynomially, in general, as the noise strength increases for all noise types, highlighting the sensitivity of state teleportation to different noise mechanisms. However, in the low noise regime, the fidelity decreases only linearly, indicating the robustness of the teleportation protocol. These results provide insight into error characterization and can inform strategies for noise mitigation in practical quantum computing applications.
Abstract Quantum teleportation exemplifies how the transmission of quantum information starkly differs from that of classical information and serves as a key protocol for quantum communication and quantum computing. While an ideal teleportation protocol requires noiseless quantum channels to share a pure maximally entangled state, the reality is that shared entanglement is often severely degraded due to various decoherence mechanisms. Although the quantum noise induced by the decoherence is indeed a major obstacle to realizing a near-term quantum network or processor with a limited number of qubits, the methodologies considered thus far to address this issue are resource-intensive. Here, we demonstrate a protocol that allows optimal quantum teleportation via noisy quantum channels without additional qubit resources. By analyzing teleportation in the framework of generalized quantum measurement, we optimize the teleportation protocol for noisy quantum channels. In particular, we experimentally demonstrate that our protocol enables to teleport an unknown qubit even via a single copy of an entangled state under strong decoherence that would otherwise preclude any quantum operation. Our work provides a useful methodology for practically coping with decoherence with a limited number of qubits and paves the way for realizing noisy intermediate-scale quantum computing and quantum communication.
ABSTRACT Quantum process tomography (QPT) plays a central role in characterizing quantum gates and circuits, diagnosing quantum devices, calibrating hardware, and supporting quantum error correction. However, conventional QPT methods face challenges related to scalability and sensitivity to noise. In this work, we propose a QPT framework based on quantum compilation, which represents quantum processes using optimized Kraus operators and Choi matrices. By formulating QPT as a compilation and optimization problem, our approach significantly reducing measurement and computational overhead while maintaining reconstruction accuracy. We benchmark the method using numerical simulations of Haar‐random unitary gates and demonstrate a reliable process reconstruction. We further apply the framework to dephasing channels with both time‐homogeneous and time‐inhomogeneous noise, as well as to depolarizing and amplitude‐damping channels, where stable performance is observed across different noise regimes. These results indicate that quantum compilation–based QPT can serve as a practical alternative to standard QPT methods for quantum process characterization and device validation.