67 citations · 210 across the 13 of their papers we have counts for
13 papers
Power-optimal, stabilized entangling gate between trapped-ion qubits
Reinhold Blumel, Nikodem Grzesiak, Neal Pisenti +2
To achieve scalable quantum computing, improving entangling-gate fidelity and its implementation-efficiency are of utmost importance. We present here a linear method to construct p…
Symmetry boosts quantum computer performance
Y. S. Nam, R. Blümel
Frequently, subroutines in quantum computers have the structure , where is some unitary transform and is perform…
Measurement of low-energy Na^+ -- Na total collision rate in an ion--neutral hybrid trap
D. S. Goodman, J. E. Wells, J. M. Kwolek +3
We present measurements of the total elastic and resonant charge-exchange ion-atom collision rate coefficient of cold sodium (\ce{Na}) with optically-dark low energ…
Scaling laws for Shor's algorithm with a banded quantum Fourier transform
Y. S. Nam, R. Blümel
We investigate the performance of a streamlined version of Shor's algorithm in which the quantum Fourier transform is replaced by a banded version that for each qubit retains only…
Spectra of regular quantum graphs
Yu. Dabaghian, R. V. Jensen, R. Blümel
We consider a class of simple quasi one-dimensional classically non-integrable systems which capture the essence of the periodic orbit structure of general hyperbolic nonintegrable…
Exact, convergent periodic-orbit expansions of individual energy eigenvalues of regular quantum graphs
R. Blümel, Y. Dabaghian, R. V. Jensen
We present exact, explicit, convergent periodic-orbit expansions for individual energy levels of regular quantum graphs. One simple application is the energy levels of a particle i…
One-dimensional quantum chaos: Explicitly solvable cases
Yu. Dabaghian, R. V. Jensen, R. Blümel
We present quantum graphs with remarkably regular spectral characteristics. We call them {\it regular quantum graphs}. Although regular quantum graphs are strongly chaotic in the c…
Combinatorial identities for binary necklaces from exact ray-splitting trace formulae
R. Blümel, Yu. Dabaghian
Based on an exact trace formula for a one-dimensional ray-splitting system, we derive novel combinatorial identities for cyclic binary sequences (Pólya necklaces).
Exact trace formulae for a class of one-dimensional ray-splitting systems
Y. Dabaghian, R. V. Jensen, R. Blümel
Based on quantum graph theory we establish that the ray-splitting trace formula proposed by Couchman {\it et al.} (Phys. Rev. A {\bf 46}, 6193 (1992)) is exact for a class of one-d…
Explicitly solvable cases of one-dimensional quantum chaos
R. Blümel, Yu. Dabaghian, R. V. Jensen
We identify a set of quantum graphs with unique and precisely defined spectral properties called {\it regular quantum graphs}. Although chaotic in their classical limit with positi…
Synchrotron radiation of crystallized beams
Harel Primack, Reinhold Blümel
We study the modifications of synchrotron radiation of charges in a storage ring as they are cooled. The pair correlation lengths between the charges are manifest in the synchrotro…
Suppression of synchrotron radiation due to beam crystallization
Harel Primack, Reinhold Blümel
With respect to a "hot", non-crystallized beam the synchrotron radiation of a cold crystallized beam is considerably modified. We predict suppression of synchrotron radiation emitt…
Diagnostic criterion for crystallized beams
Harel Primack, Reinhold Blümel
Small ion crystals in a Paul trap are stable even in the absence of laser cooling. Based on this theoretically and experimentally well-established fact we propose the following dia…