1,452 research outputs found
Surface code fidelity at finite temperatures
We study the dependence of the fidelity of the surface code in the presence
of a single finite-temperature massless bosonic environment after a quantum
error correction cycle. The three standard types of environment are considered:
super-Ohmic, Ohmic, and sub-Ohmic. Our results show that, for regimes relevant
to current experiments, quantum error correction works well even in the
presence of environment-induced, long-range inter-qubit interactions. A
threshold always exists at finite temperatures, although its temperature
dependence is very sensitive to the type of environment. For the super-Ohmic
case, the critical coupling constant separating high- from low-fidelity
decreases with increasing temperature. For both Ohmic and super-Ohmic cases,
the dependence of the critical coupling on temperature is weak. In all cases,
the critical coupling is determined by microscopic parameters of the
environment. For the sub-Ohmic case, it also depends strongly on the duration
of the QEC cycle.Comment: 13 pages, 6 figure
Surface Code Threshold in the Presence of Correlated Errors
We study the fidelity of the surface code in the presence of correlated
errors induced by the coupling of physical qubits to a bosonic environment. By
mapping the time evolution of the system after one quantum error correction
cycle onto a statistical spin model, we show that the existence of an error
threshold is related to the appearance of an order-disorder phase transition in
the statistical model in the thermodynamic limit. This allows us to relate the
error threshold to bath parameters and to the spatial range of the correlated
errors.Comment: 5 pages, 2 figure
Fixed Points of the Dissipative Hofstadter Model
The phase diagram of a dissipative particle in a periodic potential and a
magnetic field is studied in the weak barrier limit and in the tight-biding
regime. For the case of half flux per plaquette, and for a wide range of values
of the dissipation, the physics of the model is determined by a non trivial
fixed point. A combination of exact and variational results is used to
characterize this fixed point. Finally, it is also argued that there is an
intermediate energy scale that separates the weak coupling physics from the
tight-binding solution.Comment: 4 pages 3 figure
Historical Roots of Histrionic Personality Disorder
Histrionic Personality Disorder is one of the most ambiguous diagnostic categories in psychiatry. Hysteria is a classical term that includes a wide variety of psychopathological states. Ancient Egyptians and Greeks blamed a displaced womb, for many women's afflictions. Several researchers from the 18th and 19th centuries studied this theme, namely, Charcot who defined hysteria as a "neurosis" with an organic basis and Sigmund Freud who redefined "neurosis" as a re-experience of past psychological trauma. Histrionic personality disorder (HPD) made its first official appearance in the Diagnostic and Statistical Manual of Mental Disorders II (DSM-II) and since the DSM-III, HPD is the only disorder that kept the term derived from the old concept of hysteria. The subject of hysteria has reflected positions about health, religion and relationships between the sexes in the last 4000 years, and the discussion is likely to continue
Decoherence by Correlated Noise and Quantum Error Correction
We study the decoherence of a quantum computer in an environment which is
inherently correlated in time and space. We first derive the nonunitary time
evolution of the computer and environment in the presence of a stabilizer error
correction code, providing a general way to quantify decoherence for a quantum
computer. The general theory is then applied to the spin-boson model. Our
results demonstrate that effects of long-range correlations can be
systematically reduced by small changes in the error correction codes.Comment: 4 pages, 1 figure, Phys. Rev. Lett. in pres
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