Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physical Review A

Quantum tomography of input-output processes

Alfredo Luis

Published Oct 11, 2000• 8 citations
Publisher

Abstract

We demonstrate the possibility of practical tomographic determination of arbitrary input-output transformations. It is shown that the Liouville-space formalism provides a generalization of standard tomography encompassing the reconstruction of processes as well as of quantum states.
DOI
10.1103/physreva.62.054302

Related papers

0 Orthogonality relations in Quantum Tomography

Giacomo Mauro D’Ariano, Lorenzo Maccone, Matteo G. A. Paris

Quantum estimation of the operators of a system is investigated by analyzing its Liouville space of operators. In this way it is possible to easily derive some general characterization for the sets of observables (i.e. the possible quorums) that are measured for the quantum estimation. In particular we analyze the reconstruction of operators of spin systems.

•Aug 16, 2016•18 citations

Recovery of classical images and nontomographic quantum state reconstruction

Celso L. Ladera

Quantum tomography, as being recently used in atomic optics and quantum optics for quantum state recovery, has been developed in analogue fashion to the standard method of classical computer tomography. Unfortunately, it is only possible to handle a limited number of cases with such methods. Advanced non-tomographic quantum state reconstruction is now being developed as an alternative to achieve reconstruction for arbitrary potential functions. It has now become feasible, in turn, to apply the new method, again in analogue fashion, for the reconstruction of classical images.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Jul 19, 1999•0 citations

High-dimensional quantum process tomography with undetected photons

Salini Rajeev, Mayukh Lahiri

The goal of quantum process tomography is to fully characterize an operation performed on a quantum state. By considering high-dimensional quantum states (qudit), we show that it is possible to fully reconstruct an arbitrary operation without performing any measurement on the transformed qudit. Our method is interferometric and conceptually different from existing techniques of quantum process tomography that must perform a measurement on the transformed qudit.

quant-pharXiv:2608.02490•Aug 4, 2026•0 citations

Quantum Tomography: General Theory and New Experiments

Giacomo Mauro D’Ariano

Quantum tomography is a general method for estimating the ensemble average of all operators of an arbitrary quantum system from a set of measurements of a quorum of observables. A procedure for deconvolving instrumental noise is available, which makes the tomographic method feasible in different physical contexts. Recent developments are presented and new experiments are proposed, which are now made possible by the tomographic technique.

Fortschritte der Physik•May 1, 2000•6 citations

Qudit quantum-state tomography

Rob Thew, Kae Nemoto, Andrew G. White +1 more

Recently quantum tomography has been proposed as a fundamental tool for prototyping a few qubit quantum device. It allows the complete reconstruction of the state produced from a given input into the device. From this reconstructed density matrix, relevant quantum information quantities such as the degree of entanglement and entropy can be calculated. Generally, orthogonal measurements have been discussed for this tomographic reconstruction. In this paper, we extend the tomographic reconstruction technique to two new regimes. First, we show how nonorthogonal measurements allow the reconstruction of the state of the system provided the measurements span the Hilbert space. We then detail how quantum-state tomography can be performed for multiqudits with a specific example illustrating how to achieve this in one- and two-qutrit systems.

arXiv:quant-ph/0201052•Physical Review A•Jul 16, 2002•347 citations

Device independent witnessing of unknown quantum channels

Michele Dall’Arno, Sarah Brandsen, Francesco Buscemi

Quantum process tomography, the standard procedure to characterize any quantum channel in nature, is affected by a circular argument: in order to characterize the channel, the tomographic preparation and measurement need in turn to be already characterized. We break this loop by designing an operational framework able to optimally characterize any given unknown quantum channel in a device-independent fashion, namely, by only looking at its input-output statistics, under the sole assumption that quantum theory is valid. We provide explicit solutions, in closed form, for practically relevant cases such as the erasure, depolarizing, and amplitude-damping channels.

arXiv:1511.05260•Nov 17, 2015•0 citations
Quantum tomography, as being recently used in atomic optics and quantum optics for quantum state recovery, has been developed in analogue fashion to the standard method of classical computer tomography. Unfortunately, it is only possible to handle a limited number of cases with such methods. Advanced non-tomographic quantum state reconstruction is now being developed as an alternative to achieve reconstruction for arbitrary potential functions. It has now become feasible, in turn, to apply the new method, again in analogue fashion, for the reconstruction of classical images.
Recently quantum tomography has been proposed as a fundamental tool for prototyping a few qubit quantum device. It allows the complete reconstruction of the state produced from a given input into the device. From this reconstructed density matrix, relevant quantum information quantities such as the degree of entanglement and entropy can be calculated. Generally, orthogonal measurements have been discussed for this tomographic reconstruction. In this paper, we extend the tomographic reconstruction technique to two new regimes. First, we show how nonorthogonal measurements allow the reconstruction of the state of the system provided the measurements span the Hilbert space. We then detail how quantum-state tomography can be performed for multiqudits with a specific example illustrating how to achieve this in one- and two-qutrit systems.
Quantum process tomography, the standard procedure to characterize any quantum channel in nature, is affected by a circular argument: in order to characterize the channel, the tomographic preparation and measurement need in turn to be already characterized. We break this loop by designing an operational framework able to optimally characterize any given unknown quantum channel in a device-independent fashion, namely, by only looking at its input-output statistics, under the sole assumption that quantum theory is valid. We provide explicit solutions, in closed form, for practically relevant cases such as the erasure, depolarizing, and amplitude-damping channels.