Understanding the Limits of Bootstrapping in Quantum State Tomography

Areeya Chantasri, Shengshi Pang, Teerawat Chalermpusitarak +1 more

Gregory S. Kanter, Prem Kumar

Jincheng Zhang

Quantum State Tomography (QST) offers a novel approach to understanding complex systems by leveraging quantum mechanics. This paper introduces a quantum state tomography algorithm designed for efficiently mapping the state of a complex system based on measurements. The core mechanism involves utilizing quantum superposition and entanglement to create a probabilistic model of the system's state, enabling rapid, less-precise assessment. The algorithm's potential lies in its ability to overcome the computational limitations of traditional state tomography, opening new avenues for analyzing and interpreting intricate systems. This work demonstrates the feasibility of QST through a theoretical analysis and preliminary implementation, highlighting its promise for various scientific and engineering applications.

Takafumi Oka, Takahiko Satoh, Rodney Van Meter

Quantum networking needs knowledge of the quality of a connection in order for quantum error correction to work. We are designing a classical network protocol to support quantum state analysis procedures such as tomography. This paper sketches the protocol as well as summarizes the fundamental scheme of two-node quantum communication using photons. Our protocol is a master-slave protocol. We show that we need around 2000-3000 (42000-60000) Bell pairs for tomography to achieve F > 0.99 (0.999). These stringent performance requirements result in long bootstrap times for individual network links, and suggest that tomography is inappropriate during the establishment of individual connections across a network.

M. Cramer, Martin Bodo Plenio, Steven T. Flammia +6 more

Dėnes Petz, Katalin Mária Hangos, László Ruppert