Double-occupancy errors, adiabaticity, and entanglement of spin qubits in quantum dots

By J. Schliemann, Daniel Loss, Allan H. MacDonald. 2000

150 citations recorded by the source corpus.

Quantum gates that temporarily increase singlet-triplet splitting in order to swap electronic spins in coupled quantum dots lead inevitably to a finite double-occupancy probability for both dots. By solving the time-dependent Schrodinger equation for a coupled dot model, we demonstrate that this does not necessarily lead to quantum computation errors, Instead. the coupled dot ground state evolves quasiadiabatically for typical system parameters so that the double-occupancy probability at the completion of swapping is negligibly small. We introduce a measure of entanglement that explicitly takes into account the possibilty of double occupancies and provides a necessary and sufficient criterion for entangled states.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/45266336c77db1dbfb1f47b1ec7f29f3dd945c1c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. Rosario Fazio
2. Luigi Amico
3. A. Osterloh
4. Vlatko Vedral
5. J. Cardy
6. Pasquale Calabrese

In Atomic and Molecular Physics, and Optics

1. Rosario Fazio
2. Luigi Amico
3. A. Osterloh
4. Vlatko Vedral
5. J. Cardy
6. Pasquale Calabrese
7. Michael J. Hartmann

Citations in the corpus

• Entanglement in many-body systems (2007, background): “Normalized in order to range in the interval [0, 1] this has been called the Fermionic concurrence C[|ω〉] (Eckert et al., 2002; Schliemann et al., 2001a,b) C[|ω〉] = |〈 ω̃ |ω 〉| = 8|pf[ω]| (17) 9 where ω̃ := 12ε ijklω∗k,l has been termed the dual to ω.”