38 citations · 95 across the 13 of their papers we have counts for
14 papers
Towards the Geometry of Quantum Optical Measurements: Kraus Trajectories in the Instrumental Weyl-Heisenberg Group Manifold
Tzula B. Propp, Chris S. Jackson
Since ancient Greek times, geometry has been a method by which humans can make inferences, by the use of similar triangles, about the world far beyond their immediate senses. Simil…
Quantum Measurement and Continuous Markov Processes
Chris Jackson
These are the lecture notes for a course on diffusive quantum measuring instruments. They were prepared and delivered at the Perimeter Institute on Mondays and Thursdays, from 2:30…
Sequential Quantum Measurements and the Instrumental Group Algebra
Christopher S. Jackson
Many of the most fundamental observables | position, momentum, phase-point, and spin-direction | cannot be measured by an instrument that obeys the orthogonal projection postulate.…
Solving the problem with the Global Cartan Decomposition
Elija Perrier, Christopher S. Jackson
Geometric methods have useful application for solving problems in a range of quantum information disciplines, including the synthesis of time-optimal unitaries in quantum control.…
Simultaneous Momentum and Position Measurement and the Instrumental Weyl-Heisenberg Group
Christopher S. Jackson, Carlton M. Caves
The canonical commutation relation, , stands at the foundation of quantum theory and the original Hilbert space. The interpretation of & as observables has…
Simultaneous Measurements of Noncommuting Observables. Positive Transformations and Instrumental Lie Groups
Christopher S. Jackson, Carlton M. Caves
We formulate a general program for [...] analyzing continuous, differential weak, simultaneous measurements of noncommuting observables, which focuses on describing the measuring i…
The photodetector, the heterodyne instrument, and the principle of instrument autonomy
Christopher S. Jackson
Measuring instruments, especially ones that observe continually over time, have a reality to them that is independent of the states that stimulate their senses. This is the Princip…
How to perform the coherent measurement of a curved phase space by continuous isotropic measurement. I. Spin and the Kraus-operator geometry of
Christopher S. Jackson, Carlton M. Caves
The generalized -function of a spin system can be considered the outcome probability distribution of a state subjected to a measurement represented by the spin-coherent-state (S…
How to implement the generalized-coherent-state POVM via nonadaptive continuous isotropic measurement
Chris S. Jackson
In a recent Letter~[PRL \textbf{121}, 130404 (2018)], it was announced that the spin-coherent-state POVM can be implemented via a nonadaptive continuous isotropic measurement. In t…
Optimal Pure-State Qubit Tomography via Sequential Weak Measurements
Ezad Shojaee, Christopher S. Jackson, Carlos A. Riofrio +2
The spin-coherent-state positive-operator-valued-measure (POVM) is a fundamental measurement in quantum science, with applications including tomography, metrology, teleportation, b…
Non-holonomic tomography II: Detecting correlations in multiqudit systems
Christopher Jackson, Steven van Enk
In the context of quantum tomography, quantities called a partial determinants\cite{jackson2015detecting} were recently introduced. PDs (partial determinants) are explicit function…
Non-holonomic tomography I: The Born rule as a connection between experiments
Christopher Jackson, Steven van Enk
In the context of quantum tomography, we recently introduced a quantity called a partial determinant \cite{jackson2015detecting}. PDs (partial determinants) are explicit functions…
The Born rule as a parallel transport equation: Detecting multiqudit state-preparation and measurement correlations
Christopher Jackson, Steven van Enk
In the context of quantum tomography, we recently introduced a quantity called a partial determinant \cite{jackson2015detecting}. PDs (partial determinants) are explicit functions…
Detecting correlated errors in SPAM tomography
Christopher Jackson, S. J. van Enk
Whereas in standard quantum state tomography one estimates an unknown state by performing various measurements with known devices, and whereas in detector tomography one estimates…