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pro vyhledávání: '"de Snoo A"'
We prove an abstract criterion on spectral instability of nonnegative selfadjoint extensions of a symmetric operator and apply this to self-adjoint Neumann Laplacians on bounded Lipschitz domains, intervals, and graphs. Our results can be viewed as v
Externí odkaz:
http://arxiv.org/abs/2406.18911
Autor:
De Smet, Maxim, Matsumoto, Yuta, Zwerver, Anne-Marije J., Tryputen, Larysa, de Snoo, Sander L., Amitonov, Sergey V., Sammak, Amir, Samkharadze, Nodar, Gül, Önder, Wasserman, Rick N. M., Rimbach-Russ, Maximilian, Scappucci, Giordano, Vandersypen, Lieven M. K.
The computational power and fault-tolerance of future large-scale quantum processors derive in large part from the connectivity between the qubits. One approach to increase connectivity is to engineer qubit-qubit interactions at a distance. Alternati
Externí odkaz:
http://arxiv.org/abs/2406.07267
Autor:
Hassi, Seppo, de Snoo, Henk
A semibounded operator or relation $S$ in a Hilbert space with lower bound $m \in {\mathbb R}$ has a symmetric extension $S_{\rm f}=S {\, \widehat + \,} (\{0\} \times {\rm mul\,} S^*)$, the weak Friedrichs extension of $S$, and a selfadjoint extensio
Externí odkaz:
http://arxiv.org/abs/2403.19041
Autor:
Wang, Chien-An, John, Valentin, Tidjani, Hanifa, Yu, Cécile X., Ivlev, Alexander S., Déprez, Corentin, van Riggelen-Doelman, Floor, Woods, Benjamin D., Hendrickx, Nico W., Lawrie, William I. L., Stehouwer, Lucas E. A., Oosterhout, Stefan D., Sammak, Amir, Friesen, Mark, Scappucci, Giordano, de Snoo, Sander L., Rimbach-Russ, Maximilian, Borsoi, Francesco, Veldhorst, Menno
Qubits that can be efficiently controlled are essential for the development of scalable quantum hardware. While resonant control is used to execute high-fidelity quantum gates, the scalability is challenged by the integration of high-frequency oscill
Externí odkaz:
http://arxiv.org/abs/2402.18382
Autor:
Hassi, Seppo, de Snoo, Henk
For a semibounded sesquilinear form ${\mathfrak t}$ in a Hilbert space ${\mathfrak H}$ there exists a representing map $Q$ from ${\mathfrak H}$ to another Hilbert space ${\mathfrak K}$, such that ${\mathfrak t}[\varphi, \psi]-c(\varphi, \psi)=(Q\varp
Externí odkaz:
http://arxiv.org/abs/2401.00584
Autor:
Hassi, Seppo, de Snoo, Henk
A sequence of operators $T_n$ from a Hilbert space ${\mathfrak H}$ to Hilbert spaces ${\mathfrak K}_n$ which is nondecreasing in the sense of contractive domination is shown to have a limit which is still a linear operator $T$ from ${\mathfrak H}$ to
Externí odkaz:
http://arxiv.org/abs/2401.00312
Autor:
Dijkema, Jurgen, Xue, Xiao, Harvey-Collard, Patrick, Rimbach-Russ, Maximilian, de Snoo, Sander L., Zheng, Guoji, Sammak, Amir, Scappucci, Giordano, Vandersypen, Lieven M. K.
Direct interactions between quantum particles naturally fall off with distance. For future-proof qubit architectures, however, it is important to avail of interaction mechanisms on different length scales. In this work, we utilize a superconducting r
Externí odkaz:
http://arxiv.org/abs/2310.16805
Autor:
Hassi, Seppo, de Snoo, Henk
In this paper a new general approach is developed to construct and study Lebesgue type decompositions of linear operators $T$ in the Hilbert space setting. The new approach allows to introduce an essentially wider class of Lebesgue type decomposition
Externí odkaz:
http://arxiv.org/abs/2308.09408
Autor:
van Riggelen-Doelman, Floor, Wang, Chien-An, de Snoo, Sander L., Lawrie, William I. L., Hendrickx, Nico W., Rimbach-Russ, Maximilian, Sammak, Amir, Scappucci, Giordano, Déprez, Corentin, Veldhorst, Menno
Publikováno v:
Nat. Commun. 15, 5716 (2024)
Quantum links can interconnect qubit registers and are therefore essential in networked quantum computing. Semiconductor quantum dot qubits have seen significant progress in the high-fidelity operation of small qubit registers but establishing a comp
Externí odkaz:
http://arxiv.org/abs/2308.02406
Autor:
Unseld, Florian K., Meyer, Marcel, Mądzik, Mateusz T., Borsoi, Francesco, de Snoo, Sander L., Amitonov, Sergey V., Sammak, Amir, Scappucci, Giordano, Veldhorst, Menno, Vandersypen, Lieven M. K.
Semiconductor spin qubits have gained increasing attention as a possible platform to host a fault-tolerant quantum computer. First demonstrations of spin qubit arrays have been shown in a wide variety of semiconductor materials. The highest performan
Externí odkaz:
http://arxiv.org/abs/2305.19681