168 research outputs found
Ground-state entanglement of spin-1 bosons undergoing superexchange interactions in optical superlattices
We discuss a model with ultra-cold atoms confined in optical superlattices.
In particular, we study the ground-state properties of two spin-1 bosons
trapped in a double-well potential. Depending on the external magnetic field
and biquadratic interactions different phases of magnetic order are realized.
Applying von Neumann entropy and number of relevant orbitals, we quantify the
bipartite entanglement between particles. Changing the values of the parameters
determining superlattices, we can switch the system between differently
entangled states
Enhancement of non-Stabilizerness within Indefinite Causal Order
In the field of quantum computation, the non-stabilizerness of a quantum
circuit is crucial for understanding and quantifying quantum speed-up. In this
work, we explore some intriguing phenomena regarding the non-stabilizerness of
a circuit when a Quantum SWITCH structure is employed. This structure is a
novel quantum construct that enables quantum states to pass through operations
in a superposition of different orders and has shown superiority in numerous
tasks over circuits with a definite causal order. Firstly, we discover that the
completely stabilizer-preserving operations, which cannot generate magic states
under standard conditions, can be transformed into a resourceful operation
capable of generating magic states when processed by the Quantum SWITCH.
Secondly, when considering the effects of noisy channels on operations, we
observe that while the non-stabilizerness of each path may be annihilated,
their superposition could still preserve the non-stabilizerness of the
operation. These findings reveal unique properties brought by the Quantum
SWITCH and open further avenues in future research on magic resources of
general quantum architecture.Comment: 5+4 pages, 4 figure
On the robustness of bucket brigade quantum RAM
We study the robustness of the bucket brigade quantum random access memory
model introduced by Giovannetti, Lloyd, and Maccone [Phys. Rev. Lett. 100,
160501 (2008)]. Due to a result of Regev and Schiff [ICALP '08 pp. 773], we
show that for a class of error models the error rate per gate in the bucket
brigade quantum memory has to be of order (where is the
size of the memory) whenever the memory is used as an oracle for the quantum
searching problem. We conjecture that this is the case for any realistic error
model that will be encountered in practice, and that for algorithms with
super-polynomially many oracle queries the error rate must be
super-polynomially small, which further motivates the need for quantum error
correction. By contrast, for algorithms such as matrix inversion [Phys. Rev.
Lett. 103, 150502 (2009)] or quantum machine learning [Phys. Rev. Lett. 113,
130503 (2014)] that only require a polynomial number of queries, the error rate
only needs to be polynomially small and quantum error correction may not be
required. We introduce a circuit model for the quantum bucket brigade
architecture and argue that quantum error correction for the circuit causes the
quantum bucket brigade architecture to lose its primary advantage of a small
number of "active" gates, since all components have to be actively error
corrected.Comment: Replaced with the published version. 13 pages, 9 figure
Atomic quantum state transferring and swapping via quantum Zeno dynamics
In this paper, we first demonstrate how to realize quantum state transferring
(QST) from one atom to another based on quantum Zeno dynamics. Then, the QST
protocol is generalized to realize the quantum state swapping (QSS) between two
arbitrary atoms with the help of a third one. Furthermore, we also consider the
QSS within a quantum network. The influence of decoherence is analyzed by
numerical calculation. The results demonstrate that the protocols are robust
against cavity decay.Comment: To appear in J. Opt. Soc. Am. B (JOSAB
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