Quantum local asymptotic normality and other questions of quantum statistics
Kahn, J.
Citation
Kahn, J. (2008, June 17). Quantum local asymptotic normality and other questions of quantum statistics. Retrieved from https://hdl.handle.net/1887/12956
Version: Corrected Publisher’s Version
License: Licence agreement concerning inclusion of doctoral thesis in the Institutional Repository of the University of Leiden
Downloaded from: https://hdl.handle.net/1887/12956
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Identical numerous copies of a finite-dimensional state in dimension d are statistically equivalent to d(d-1)/2 quantum and (d-1) classical harmonic oscillators.
The above can be used to yield an asymptotically optimal method of estimation of a totally unknown qubit.
We can use interaction between spins and electromagnetic field to have the quantum part of the states of multiple spins leak into the state of light, on which we can practically use a heterodyne measurement. This gives practical implementation of the aforementioned method of estimation.
The semistandard Young tableaux yield an almost orthogonal basis of the underlying space of a representation of special unitary matrices.
An unknown unitary operation can be probed with n input states with error decaying like 1/n.
Minimax optimal unambiguous discrimination of pure states has an explicit solution.
There are not five subalgebras of four-dimensional complex matrices, each isomorphic to two-dimensional matrices, such that the spaces spanned by the complementary of the identity in each of those subalgebras are two by two orthogonal.
Let be the following order relation: P is cleaner than Q if we can obtain Q by first transforming the input and second using P as a measurement. Then extremal measurements on qubits are exactly the measurements where either: the matrix corresponding to each possible result is rank-one, or there are three results with corresponding rank-one matrices, each with a different support.
Self-censorship and lack of a motivating environment are the main reasons why young people from derelict areas
There are but two things forbidden when it comes to cooking and eating: hiding flavours and refusing to taste. On a higher level, any taboo is bad for gastronomy, with the exception of periodic restrictions. The latter can even foster creativity.
When learning programming, begin with a higher-level language. The interest of lower-level ones lies in understanding how a machine works. Developing with them is way slower and bug-prone, and should only be used for speed-critical parts.
Eyes and sky can be the same colour.
