197 research outputs found
Kappa-symmetric deformations of M5-brane dynamics
We calculate the first supersymmetric and kappa-symmetric derivative
deformation of the M5-brane worldvolume theory in a flat eleven-dimensional
background. By applying cohomological techniques we obtain a deformation of the
standard constraint of the superembedding formalism. The first possible
deformation of the constraint and hence the equations of motion arises at cubic
order in fields and fourth order in a fundamental length scale . The
deformation is unique up to this order. In particular this rules out any
induced Einstein-Hilbert terms on the worldvolume. We explicitly calculate
corrections to the equations of motion for the tensor gauge supermultiplet.Comment: 17 pages. Additional comments in section
Error Resilient Quantum Amplitude Estimation from Parallel Quantum Phase Estimation
We show how phase and amplitude estimation algorithms can be parallelized.
This can reduce the gate depth of the quantum circuits to that of a single
Grover operator with a small overhead. Further, we show that for quantum
amplitude estimation, the parallelization can lead to vast improvements in
resilience against quantum errors. The resilience is not caused by the lower
gate depth, but by the structure of the algorithm. Even in cases with errors
that make it impossible to read out the exact or approximate solutions from
conventional amplitude estimation, our parallel approach provided the correct
solution with high probability. The results on error resilience hold for the
standard version and for low depth versions of quantum amplitude estimation.
Methods presented are subject of a patent application [Quantum computing
device: Patent application EP 21207022.1]
Tagged particle process in continuum with singular interactions
By using Dirichlet form techniques we construct the dynamics of a tagged
particle in an infinite particle environment of interacting particles for a
large class of interaction potentials. In particular, we can treat interaction
potentials having a singularity at the origin, non-trivial negative part and
infinite range, as e.g., the Lennard-Jones potential.Comment: 27 pages, proof for conservativity added, tightened presentatio
Kappa-symmetric Derivative Corrections to D-brane Dynamics
We show how the superembedding formalism can be applied to construct
manifestly kappa-symmetric higher derivative corrections for the D9-brane. We
also show that all correction terms appear at even powers of the fundamental
length scale . We explicitly construct the first potential correction, which
corresponds to the kappa-symmetric version of the , which one
finds from the four-point amplitude of the open superstring.Comment: 20 pages. Minor changes, added reference
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