Bound on quantum computation time: Quantum error correction in a critical environment

We obtain an upper bound on the time available for quantum computation for a given quantum computer and decohering environment with quantum error correction implemented. First, we derive an explicit quantum evolution operator for the logical qubits and show that it has the same form as that for the physical qubits but with a reduced coupling strength to the environment. Using this evolution operator, we find the trace distance between the real and ideal states of the logical qubits in two cases. For a super-Ohmic bath, the trace distance saturates, while for Ohmic or sub-Ohmic baths, there is a finite time before the trace distance exceeds a value set by the user. © 2010 The American Physical Society.

Surface-electrode point Paul trap

We present a model as well as experimental results for a surface electrode radiofrequency Paul trap that has a circular electrode geometry well suited for trapping single ions and two-dimensional planar ion crystals. The trap design is compatible with microfabrication and offers a simple method by which the height of the trapped ions above the surface may be changed in situ. We demonstrate trapping of single Sr88+ ions over an ion height range of 200-1000 μm for several hours under Doppler laser cooling and use these to characterize the trap, finding good agreement with our model. © 2010 The American Physical Society.

Waveguide QED: Many-body bound-state effects in coherent and Fock-state scattering from a two-level system

Strong coupling between a two-level system (TLS) and bosonic modes produces dramatic quantum optics effects. We consider a one-dimensional continuum of bosons coupled to a single localized TLS, a system which may be realized in a variety of plasmonic, photonic, or electronic contexts. We present the exact many-body scattering eigenstate obtained by imposing open boundary conditions. Multiphoton bound states appear in the scattering of two or more photons due to the coupling between the photons and the TLS. Such bound states are shown to have a large effect on scattering of both Fock- and coherent-state wave packets, especially in the intermediate coupling-strength regime. We compare the statistics of the transmitted light with a coherent state having the same mean photon number: as the interaction strength increases, the one-photon probability is suppressed rapidly, and the two- and three-photon probabilities are greatly enhanced due to the many-body bound states. This results in non-Poissonian light. © 2010 The American Physical Society.

Atypical Fibroxanthoma of the Bulbar Conjunctiva.

PURPOSE: To report a rare case of atypical fibroxanthoma (AFX) of the bulbar conjunctiva, and to compare it with previously published cases of conjunctival AFX. METHODS: A 37-year-old woman developed a growth on the bulbar conjunctiva of her left eye that increased in size and redness over 4 months and was associated with blurry vision in the left eye, occasional diplopia, irritation of the eye, and increasing tearing. The mass was surgically excised. RESULTS: Slit-lamp examination disclosed a highly vascularized conjunctival lesion with intact lustrous epithelium and a raised nodular edge encroaching on the nasal corneal limbus of the left eye. Pathological examination and immunohistochemistry were diagnostic of AFX. CONCLUSIONS: AFX of the conjunctiva is rare, with this being only the fifth example of this neoplasm reported at this site. Complete surgical excision is the most appropriate treatment option.