7,459 research outputs found
Conversion Efficiencies of Heteronuclear Feshbach Molecules
We study the conversion efficiency of heteronuclear Feshbach molecules in
population imbalanced atomic gases formed by ramping the magnetic field
adiabatically. We extend the recent work [J. E. Williams et al., New J. Phys.,
8, 150 (2006)] on the theory of Feshbach molecule formations to various
combinations of quantum statistics of each atomic component. A simple
calculation for a harmonically trapped ideal gas is in good agreement with the
recent experiment [S. B. Papp and C. E. Wieman, Phys. Rev. Lett., 97, 180404
(2006)] without any fitting parameters. We also give the conversion efficiency
as an explicit function of initial peak phase space density of the majority
species for population imbalanced gases. In the low-density region where
Bose-Einstein condensation does not appear, the conversion efficiency is a
monotonic function of the initial peak phase space density, but independent of
statistics of a minority component. The quantum statistics of majority atoms
has a significant effect on the conversion efficiency. In addition,
Bose-Einstein condensation of an atomic component is the key element
determining the maximum conversion efficiency.Comment: 46 pages, 32 figure
Manger Throne: Worshiping Emmanuel at Christmas
The overwhelming truth of the infinite, Almighty God coming to earth, clothing Himself in flesh in order to begin His grand plan for the redemption of mankind is often lost amid the festive celebrations of the Christmas season. The holidays are a time when joy and sorrow are intensified and people’s hearts are softened, making them more receptive to hear the message of the Gospel and the hope found only in Jesus. The following Worship Ministry Project seeks to elicit the overwhelming truth of God’s love to the unbeliever and to reignite the wonder and worship in the hearts of believers as to how the King of kings came as Emmanuel in order to die for the freedom and restoration of humanity
A Programmable True Random Number Generator Using Commercial Quantum Computers
Random number generators (RNG) are essential elements in many cryptographic
systems. True random number generators (TRNG) rely upon sources of randomness
from natural processes such as those arising from quantum mechanics phenomena.
We demonstrate that a quantum computer can serve as a high-quality, weakly
random source for a generalized user-defined probability mass function (PMF).
Specifically, QC measurement implements the process of variate sampling
according to a user-specified PMF resulting in a word comprised of electronic
bits that can then be processed by an extractor function to address
inaccuracies due to non-ideal quantum gate operations and other system biases.
We introduce an automated and flexible method for implementing a TRNG as a
programmed quantum circuit that executes on commercially-available, gate-model
quantum computers. The user specifies the desired word size as the number of
qubits and a definition of the desired PMF. Based upon the user specification
of the PMF, our compilation tool automatically synthesizes the desired TRNG as
a structural OpenQASM file containing native gate operations that are optimized
to reduce the circuit's quantum depth. The resulting TRNG provides multiple
bits of randomness for each execution/measurement cycle; thus, the number of
random bits produced in each execution is limited only by the size of the QC.
We provide experimental results to illustrate the viability of this approach.Comment: 15 pages, 7 figures, SPIE Defense + Commercial Sensing: Quantum
Information Science, Sensing, and Computation X
Automated Quantum Oracle Synthesis with a Minimal Number of Qubits
Several prominent quantum computing algorithms--including Grover's search
algorithm and Shor's algorithm for finding the prime factorization of an
integer--employ subcircuits termed 'oracles' that embed a specific instance of
a mathematical function into a corresponding bijective function that is then
realized as a quantum circuit representation. Designing oracles, and
particularly, designing them to be optimized for a particular use case, can be
a non-trivial task. For example, the challenge of implementing quantum circuits
in the current era of NISQ-based quantum computers generally dictates that they
should be designed with a minimal number of qubits, as larger qubit counts
increase the likelihood that computations will fail due to one or more of the
qubits decohering. However, some quantum circuits require that function domain
values be preserved, which can preclude using the minimal number of qubits in
the oracle circuit. Thus, quantum oracles must be designed with a particular
application in mind. In this work, we present two methods for automatic quantum
oracle synthesis. One of these methods uses a minimal number of qubits, while
the other preserves the function domain values while also minimizing the
overall required number of qubits. For each method, we describe known quantum
circuit use cases, and illustrate implementation using an automated quantum
compilation and optimization tool to synthesize oracles for a set of benchmark
functions; we can then compare the methods with metrics including required
qubit count and quantum circuit complexity.Comment: 18 pages, 10 figures, SPIE Defense + Commercial Sensing: Quantum
Information Science, Sensing, and Computation X
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