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the area of quantum information geometry, the Bures metric (named after Donald Bures) or Helstrom metric (named after Carl W. Helstrom) defines an infinitesimal...

space, it becomes the Fubini–Study metric; when written in terms of mixed states, it is the quantum Bures metric. Considered purely as a matrix, it is...

{\boldsymbol {\theta }}} . This definition is identical to four times the Bures metric, up to singular points where the rank of the density matrix changes (those...

the second term (involving the trace) is precisely the (unnormalised) Bures metric between C 1 {\displaystyle C_{1}} and C 2 {\displaystyle C_{2}} . This...

identify as the other. It is not a metric on the space of density matrices, but it can be used to define the Bures metric on this space. The fidelity between...

In quantum mechanics, the Fubini–Study metric is also known as the Bures metric. However, the Bures metric is typically defined in the notation of mixed...

television series, part of the Marvel Cinematic Universe Helstrom metric (or Bures metric), in quantum mechanics and mathematics, defining an infinitesimal...

square of a metric for pure states, and it was recently shown that this metric property holds for mixed states as well. The Bures metric is closely related...

})} , where D B {\displaystyle D_{B}} is the Bures distance between the starting and ending states. The Bures distance is geodesic, giving the shortest possible...

resulting metric is the Fubini–Study metric. When written in terms of mixed states, instead of pure states, it is known as the Bures metric. By introducing...

could fit on any given bar. BUR plates were offered only in American pounds; the metric system was never used for any BUR branded product. Bars and Collars...

9 km for the "Bur" surface-to-surface missiles. It had a rate of fire of 4-5 rounds/min for the "Rubin", and 8-10 rounds/min for the "Bur". Both munitions...

accuracy of measuring the circumference. Metre is the standard spelling of the metric unit for length in nearly all English-speaking nations, the exceptions being...

laboratory for the United States. Southard had previously sponsored a bill for metric conversion of the United States. President Theodore Roosevelt appointed...

changed its viewership metric, from 70% of an episode under the previous metric, down to two minutes under the new metric. The new metric gives viewing figures...

i=1,\ldots ,n} . This distance is compatible with Fisher metric. It is also related to Bures distance and fidelity between quantum states as for two diagonal...

some other events are kept by track and field statisticians. The only non-metric track distance for which official records are kept is the mile run. The...

in 2008 were India (4 million metric tons), Bangladesh (2.16 million metric tons), and the Sudan (1.47 million metric tons). India slaughters 41% of...

1985 until 1995, professor at Institut des Hautes Études Scientifiques at Bures-sur-Yvette in France, at the Institute for Advanced Study in Princeton,...

load line markings.[citation needed] The scale may use Imperial units or metric units; the Imperial system is as stated above (markings 6-inches high, spaced...