2009/10/29 by Matthijs P. A. Branderhorst, M. P. A. Branderhorst, J. Nunn +4 · 41 citations
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Algorithm #Applied mathematics #Artificial intelligence #Class (philosophy) #Computer science #Constraint (computer-aided design) #Geometry #Mathematical optimization #Mathematics #Physical system #Physics #Process (computing) #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum dynamics #Quantum mechanics #Quantum process #Quantum system #Regular polygon #Scaling #Set (abstract data type) #Statistical physics #quant-ph
paper · pdf · doi:10.1088/1367-2630/11/11/115010
published in New Journal of Physics 11(11), 115010 (IOP Publishing) · Added references to interesting related work by Bendersky et al
arxiv created 2009/10/29 · openalex publication_date 2009/11/13 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose and evaluate experimentally an approach to quantum process tomography that completely removes the scaling problem plaguing the standard approach. The key to this simplification is the incorporation of prior knowledge of the class of physical interactions involved in generating the dynamics, which reduces the problem to one of parameter estimation. This allows part of the problem to be tackled using efficient convex methods, which, when coupled with a constraint on some parameters, allows globally optimal estimates for the Krauss operators to be determined from experimental data. Parameterizing the maps provides further advantages: it allows the incorporation of mixed states of the environment as well as some initial correlation between the system and environment, both of which are common physical situations following excitation of the system away from thermal equilibrium. Although the approach is not universal, in cases where it is valid it returns a complete set of positive maps for the dynamical evolution of a quantum system at all times.