Results 61 to 70 of about 91,509 (288)

Unveiling Hidden Features of Strongly Correlated Quantum Systems Through a Complex‐Network Analysis

open access: yesAdvanced Quantum Technologies, EarlyView.
By applying complex network theory, we report a fundamental and previously unobserved phenomenon in the finite‐size Kitaev model: a singular point at which uniform, nonzero entanglement emerges among all fermion pairs, forming a complete entanglement network.
Guillem Llodrà   +2 more
wiley   +1 more source

Valuation Extensions of Filtered and Graded Algebras

open access: yes, 2005
In this note we relate the valuations of the algebras appearing in the non-commutative geometry of quantized algebras to properties of sub-lattices in some vector spaces.
Baetica, C., Van Oystaeyen, F.
core   +1 more source

Finitely Embedded Commutative Rings [PDF]

open access: yesProceedings of the American Mathematical Society, 1991
A theorem of Ginn and Moss [G-M] states that a right finitely embedded (= with finite essential right socle) two-sided Noetherian ring is Artinian. An example of Schelter and Small [S-S] can be applied to show that the theorem fails for right finitely embedded rings with the ascending chain conditions on right and left annihilators.
openaire   +1 more source

Space‐Efficient Logical Qubit Architecture with a Bus for Magic State Consumption

open access: yesAdvanced Quantum Technologies, EarlyView.
This paper proposes a logical qubit architecture, considering the consumption of magic states. By constructing the patch to the magic state using the repetition code and data qubits using the surface code, the proposed architecture minimizes the number of qubits, referred to as the space cost.
Yujin Kang, Youshin Chung, Jun Heo
wiley   +1 more source

Characterization of rings with planar, toroidal or projective planar prime ideal sum graphs

open access: yesAKCE International Journal of Graphs and Combinatorics
Let R be a commutative ring with unity. The prime ideal sum graph [Formula: see text] of the ring R is the simple undirected graph whose vertex set is the set of all nonzero proper ideals of R and two distinct vertices I and J are adjacent if and only if
Praveen Mathil   +3 more
doaj   +1 more source

Genus of total graphs from rings: A survey

open access: yesAKCE International Journal of Graphs and Combinatorics, 2018
Let R be a commutative ring. The total graph T Γ ( R ) of R is the undirected graph with vertex set R and two distinct vertices x and y are adjacent if x + y is a zero divisor in R . In this paper, we present a survey of results on the genus of T Γ ( R )
T. Tamizh Chelvam, T. Asir
doaj   +1 more source

VIC-modules over noncommutative rings

open access: yes, 2020
For a finite ring $R$, not necessarily commutative, we prove that the category of $\text{VIC}(R)$-modules over a left Noetherian ring $\mathbf{k}$ is locally Noetherian, generalizing a theorem of the authors that dealt with commutative $R$.
Putman, Andrew, Sam, Steven V
core  

Simulating Quantum State Transfer Between Distributed Devices Using Noisy Interconnects

open access: yesAdvanced Quantum Technologies, EarlyView.
Noisy connections challenge future networked quantum computers. This work presents a practical method to address this by simulating an ideal state transfer over noisy interconnects. The approach reduces the high sampling cost of previous methods, an advantage that improves as interconnect quality gets better.
Marvin Bechtold   +3 more
wiley   +1 more source

The Zero Divisor Graphs of a finite Certain Rings [PDF]

open access: yesالمجلة العراقية للعلوم الاحصائية, 2013
For each commutative ring we associate a ...
Nazar H. Shuker, Husam Q. Mohammad
doaj   +1 more source

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