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261
Topological Structure of Quantum Algorithms
Argitaratua 2013“...We use a topological formalism to examine the Deutsch-Jozsa, hidden subgroup and Grover algorithms. ...”
Journal article -
262
Some problems of algebraic topology
Argitaratua 1961“...<p>This thesis studies some aspects of the homotopy type of function spaces X<sup>Y</sup> where X,Y are topological spaces.</p> <p>The thesis is in two parts. ...”
Thesis -
263
Tales from topological oceans
Argitaratua 2018“...In geophysical fluid dynamics these often arise via alignment of gradients, in which case the functional relationship is multivalued; its branches are determined by a topological analysis of the connectedness of level sets, accomplished by the Reeb graph....”
Thesis -
264
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265
Aspects of the topological Kondo effect
Argitaratua 2017“...<p>We investigate theoretically the topological Kondo effect (TKE) and related non-Fermi-liquid (NFL) phenomena in correlated mesoscopic devices containing Majorana fermions. ...”
Thesis -
266
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267
Braid topologies for quantum computation.
Argitaratua 2005“...In topological quantum computation, quantum information is stored in states which are intrinsically protected from decoherence, and quantum gates are carried out by dragging particlelike excitations (quasiparticles) around one another in two space dimensions. ...”
Journal article -
268
Topological insulator nanowires and nanoribbons.
Argitaratua 2010“...Nanoscale topological insulator materials have a large surface-to-volume ratio that can manifest the conductive surface states and are promising candidates for devices. ...”
Journal article -
269
Topological metamaterials for engineering applications
Argitaratua 2024“...<p>Topological properties of wave systems link seemingly abstract mathematical quantities with very real physical effects. ...”
Thesis -
270
Topological protection of biphoton states
Argitaratua 2018“...We experimentally demonstrate topological protection of biphoton states, the building block for quantum information systems. ...”
Journal article -
271
Focus on topological quantum computation
Argitaratua 2014“...Topological quantum computation started as a niche area of research aimed at employing particles with exotic statistics, called anyons, for performing quantum computation. ...”
Journal article -
272
Group splittings and asymptotic topology
Argitaratua 2002“...In this paper we use asymptotic topology to show that group splittings are preserved by quasi-isometries in many cases. ...”
Journal article -
273
Analytical and topological aspects of signatures
Argitaratua 2008“...Therefore, it should be plausible to extract this topological information out from the signature of the loop since the signature is a complete algebraic invariant. ...”
Thesis -
274
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275
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276
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277
Topological structures in string theory
Argitaratua 2001“...String-theoretical space-time can contain topologically non-trivial dynamical structures called D-branes. ...”
Conference item -
278
Topological fingerprints for audio identification
Argitaratua 2024“...We present a topological audio fingerprinting approach for robustly identifying dupli5 cate audio tracks. ...”
Journal article -
279
Topological Uncertainty in Wireless Networks
Argitaratua 2016“...This work provides an analysis of topological uncertainty in wireless networks. Here, we model a wireless network as a random geometric graph (RGG) and quantify topological uncertainty in terms of the Shannon entropy of the underlying graph model. ...”
Conference item -
280
Examples of topologically unknotted tori
Argitaratua 2024“...This gives evidence towards the conjecture that all Z-surfaces in S^4 are topologically unknotted, which is open for genus one and two. ...”
Journal article