We show how superconductors can be used to couple, initialize, and read out spatially separated spin qubits. When two single-electron quantum dots are tunnel coupled to the same superconductor, the singlet component of the two-electron state partially leaks into the superconductor via crossed Andreev reflection. This induces a gate-controlled singlet-triplet splitting which, with an appropriate...

We present a number of findings concerning groupoid dynamical systems and groupoid crossed products. The primary result is an identification of the spectrum of the groupoid crossed product when the groupoid has continuously varying abelian stabilizers and a well behaved orbit space. In this case, the spectrum of the crossed product is homeomorphic, via an induction map, to a quotient of the spe...

Abstract It is proved that a map ${\varphi }\colon R\to S$ of commutative Noetherian rings essentially finite type and flat locally complete intersection if only $S$ proxy small as bimodule. This means the thick subcategory generated by module over enveloping algebra $S\otimes _RS$ contains perfect complex supported fully on diagonal ideal. in spirit classical result }$ smooth bimodule; to say,...

Analysis of Factor-VIII-related antigen (vWAg) in normal plasma by crossed immunoelectrophoresis reveals an asymmetric pattern indicative of molecular heterogeneity. This asymmetric pattern apparently results from the presence of multiple molecular forms of VWAg with distinct, though partially overlapping, mobilities on crossed immunoelectrophoresis. Evidence for this conclusion has been obtain...

This thesis contains some results concerning groupoid dynamical systems and crossed products. We introduce the notion of a proper groupoid dynamical system and of its generalized fixed point algebra. We show that our notion of proper groupoid dynamical system extends both the notion of proper actions of groups on topological spaces and the notion of the proper group dynamical systems introduced...

In this paper we give a short, direct proof, using only properties of the Haagerup tensor product, that if an operator algebra A possesses a diagonal in the Haagerup tensor product of A with itself, then A must be isomorphic to a finite dimensional C∗-algebra. Consequently, for operator algebras, the first Hochschild cohomology group, H(A, X) = 0 for every bounded, Banach A-bimodule X , if and ...