373,724 research outputs found
The total energy--momentum tensor for electromagnetic fields in a dielectric
There are various formulations of energy--momentum tensors for an
electromagnetic field in a linear dielectric. The total energy--momentum
tensor, comprised of electromagnetic and material components, must be unique.
We discuss the construction of the total energy--momentum tensor and the
associated conservation laws.Comment: Added publication informatio
Is Entanglement Sufficient to Enable Quantum Speedup?
According to the Gottesman-Knill theorem, any quantum algorithm utilising
operations chosen exclusively from a particular restricted set are efficiently
simulable by a classical computer. Since some of these algorithms involve
entangled states, it is commonly concluded that entanglement is insufficient to
enable quantum speedup. As I explain, however, the operations belonging to this
set are precisely those which will never yield a violation of the Bell
inequalities. Thus it should be no surprise that entangled quantum states which
only undergo operations in this set are efficiently simulable classically. What
the Gottesman-Knill theorem shows us is that it is possible to use an entangled
state to less than its full potential. Nevertheless, there is a meaningful
sense in which entanglement is sufficient for quantum speedup: an entangled
quantum state provides sufficient physical resources to enable quantum speedup,
whether or not one elects to use these resources fully.Comment: Only minor changes from last version. Comments and criticisms are
welcome. This article has been superseded by arXiv:1310.093
Foreword: Waiver of Constitutional Rights: Disquiet in the Citadel
Foreword to Harvard Law Review review of Supreme Court 1969 Ter
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