Coherent Control of Trapped-Ion Qubits with Localized Electric Fields.

We present a new method for coherent control of trapped ion qubits in separate interaction regions of a multizone trap by simultaneously applying an electric field and a spin-dependent gradient. Both the phase and amplitude of the effective single-qubit rotation depend on the electric field, which can be localized to each zone. We demonstrate this interaction on a single ion using both laser-based and magnetic-field gradients in a surface-electrode ion trap, and measure the localization of the electric field.

Probing Qubit Memory Errors at the Part-per-Million Level.

Robust qubit memory is essential for quantum computing, both for near-term devices operating without error correction, and for the long-term goal of a fault-tolerant processor. We directly measure the memory error ε_{m} for a ^{43}Ca^{+} trapped-ion qubit in the small-error regime and find ε_{m}<10^{-4} for storage times t≲50 ms. This exceeds gate or measurement times by three orders of magnitude. Using randomized benchmarking, at t=1 ms we measure ε_{m}=1.2(7)×10^{-6}, around ten times smaller than that extrapolated from the T_{2}^{*} time, and limited by instability of the atomic clock reference used to benchmark the qubit.

Magnetic field stabilization system for atomic physics experiments.

Atomic physics experiments commonly use millitesla-scale magnetic fields to provide a quantization axis. As atomic transition frequencies depend on the magnitude of this field, many experiments require a stable absolute field. Most setups use electromagnets, which require a power supply stability not usually met by commercially available units. We demonstrate the stabilization of a field of 14.6 mT to 4.3 nT rms noise (0.29 ppm), compared to noise of >100 nT without any stabilization. The rms noise is measured using a field-dependent hyperfine transition in a single 43Ca+ ion held in a Paul trap at the center of the magnetic field coils. For the 43Ca+ "atomic clock" qubit transition at 14.6 mT, which depends on the field only in second order, this would yield a projected coherence time of many hours. Our system consists of a feedback loop and a feedforward circuit that control the current through the field coils and could easily be adapted to other field amplitudes, making it suitable for other applications such as neutral atom traps.

High-Fidelity Trapped-Ion Quantum Logic Using Near-Field Microwaves.

We demonstrate a two-qubit logic gate driven by near-field microwaves in a room-temperature microfabricated surface ion trap. We introduce a dynamically decoupled gate method, which stabilizes the qubits against fluctuating energy shifts and avoids the need to null the microwave field. We use the gate to produce a Bell state with fidelity 99.7(1)%, after accounting for state preparation and measurement errors. The gate is applied directly to ^{43}Ca^{+} hyperfine "atomic clock" qubits (coherence time T_{2}^{*}≈50 s) using the oscillating magnetic field gradient produced by an integrated microwave electrode.

High-Fidelity Quantum Logic Gates Using Trapped-Ion Hyperfine Qubits.

We demonstrate laser-driven two-qubit and single-qubit logic gates with respective fidelities 99.9(1)% and 99.9934(3)%, significantly above the ≈99% minimum threshold level required for fault-tolerant quantum computation, using qubits stored in hyperfine ground states of calcium-43 ions held in a room-temperature trap. We study the speed-fidelity trade-off for the two-qubit gate, for gate times between 3.8 µs and 520 µs, and develop a theoretical error model which is consistent with the data and which allows us to identify the principal technical sources of infidelity.

Hybrid quantum logic and a test of Bell's inequality using two different atomic isotopes.

Entanglement is one of the most fundamental properties of quantum mechanics, and is the key resource for quantum information processing (QIP). Bipartite entangled states of identical particles have been generated and studied in several experiments, and post-selected or heralded entangled states involving pairs of photons, single photons and single atoms, or different nuclei in the solid state, have also been produced. Here we use a deterministic quantum logic gate to generate a 'hybrid' entangled state of two trapped-ion qubits held in different isotopes of calcium, perform full tomography of the state produced, and make a test of Bell's inequality with non-identical atoms. We use a laser-driven two-qubit gate, whose mechanism is insensitive to the qubits' energy splittings, to produce a maximally entangled state of one (40)Ca(+) qubit and one (43)Ca(+) qubit, held 3.5 micrometres apart in the same ion trap, with 99.8 ± 0.6 per cent fidelity. We test the CHSH (Clauser-Horne-Shimony-Holt) version of Bell's inequality for this novel entangled state and find that it is violated by 15 standard deviations; in this test, we close the detection loophole but not the locality loophole. Mixed-species quantum logic is a powerful technique for the construction of a quantum computer based on trapped ions, as it allows protection of memory qubits while other qubits undergo logic operations or are used as photonic interfaces to other processing units. The entangling gate mechanism used here can also be applied to qubits stored in different atomic elements; this would allow both memory and logic gate errors caused by photon scattering to be reduced below the levels required for fault-tolerant quantum error correction, which is an essential prerequisite for general-purpose quantum computing.

High-Fidelity Preparation, Gates, Memory, and Readout of a Trapped-Ion Quantum Bit.

We implement all single-qubit operations with fidelities significantly above the minimum threshold required for fault-tolerant quantum computing, using a trapped-ion qubit stored in hyperfine "atomic clock" states of ^{43}Ca^{+}. We measure a combined qubit state preparation and single-shot readout fidelity of 99.93%, a memory coherence time of T_{2}^{*}=50 sec, and an average single-qubit gate fidelity of 99.9999%. These results are achieved in a room-temperature microfabricated surface trap, without the use of magnetic field shielding or dynamic decoupling techniques to overcome technical noise.

Felbamate block of recombinant N-methyl-D-aspartate receptors: selectivity for the NR2B subunit.

The anticonvulsant felbamate blocks N-methyl-D-asparate (NMDA) receptors but fails to exhibit the neurobehavioral toxicity characteristic of other NMDA receptor antagonists. To investigate the possibility that felbamate's favorable toxicity profile could be related to NMDA receptor subtype selectivity, we examined the specificity of felbamate block of recombinant NMDA receptors composed of the NR1a subunit and various NR2 subunits. Felbamate produced a rapid, concentration-dependent block of currents evoked by 50 microM NMDA and 10 microM glycine in human embryonic kidney 293 cells expressing the rat NR1a subunit, and either the NR2A, NR2B or NR2C subunits; the IC50 values for block were 2.6, 0.52 and 2.4 mM, respectively (holding potential, - 60 mV). The Hill coefficient values were < 1 and, in kinetic analyses, onset and recovery from block were well fit by double exponential functions, indicating binding to more than one blocking site on the NMDA receptor channel complex. The higher affinity of felbamate block of NMDA receptors containing the NR2B subunit could be accounted for by more rapid association and slower dissociation from these sites. We conclude that felbamate exhibits modest selectivity for NMDA receptors composed of NR1a/NR2B subunits. This selectivity could, in part, account for the more favorable clinical profile of felbamate in comparison with NMDA receptor antagonists that do not show subunit selectivity.

Kinetic analysis of glycine receptor currents in ventral cochlear nucleus.

Glycine plays an important role as an inhibitory neurotransmitter in the ventral cochlear nucleus. However, little is known about the kinetic behavior of glycine receptors. The present study examines the kinetics of the native inhibitory glycine receptors in neurons of the ventral cochlear nucleus, using outside-out patches from acutely dissociated cells and a fast flow system. Steps into 1 mM glycine revealed fast phases of desensitization with time constants of 13 and 129 ms, that together produced a 40% reduction in current from the peak response. Slower desensitization phases also were observed. After removal of glycine, currents deactivated with two time constants of 15 and 68 ms, and these rates were independent of the glycine concentration between 0.2 and 1 mM. Recovery from desensitization was slow relative to desensitization itself. These results demonstrate that glycine receptors can exhibit faster rates of desensitization and deactivation than previously reported.

Glycine-evoked currents in acutely dissociated neurons of the guinea pig ventral cochlear nucleus.

1. Glycine was applied to acutely dissociated neurons of the guinea pig ventral cochlear nucleus (VCN) with the use of iontophoresis. With approximately equal chloride concentrations in the extra- and intracellular solutions (i.e., chloride equilibrium potential = 0 mV), cells held at -60 mV responded with inward currents that were 1-10 nA in amplitude, had rise times of approximately 50 ms, and decayed to half of the peak amplitude in 50-600 ms. More than 95% of cells with diameters > 12 microns responded to glycine. Response amplitude and area increased with increasing duration of the iontophoretic pulse. Response amplitude saturated at pulse durations of 60-80 ms, whereas response area did not exhibit saturation for pulse durations of 10-100 ms. 2. The glycine antagonist strychnine was added to the extracellular solution at concentrations of 0.5-500 nM to evaluate its effect on glycine-evoked responses. Strychnine produced a 50% reduction in the response at a concentration of 12 nM and the dose-response function had a limiting slope (Hill coefficient) of 1.4. 3. Changes in glycine-evoked currents as a function of cell membrane potential were examined in the presence of tetrodotoxin, tetraethylammonium chloride, and 4-aminopyridine, which block sodium and potassium conductances activated by depolarization. Both the amplitude and the decay of glycine-evoked currents displayed a voltage dependence. Under conditions where the glycine currents reversed at -35 mV, the amplitudes of responses evoked at membrane potentials of 0 mV were 2.3 times larger than those of responses evoked at -70 mV. The decay time constant at 0 mV was 1.49 times longer than that at -70 mV. 4. Acutely dissociated neurons of the VCN previously have been classified on the basis of the absence (type I) or presence (type II) of a low-threshold outward current. Type I cells fire repetitively in response to current pulses, whereas type II cells fire transiently. Glycine-evoked responses were compared in cells identified electrophysiologically as type I or type II on the basis of previously established criteria under voltage clamp. The average amplitudes of responses recorded at a membrane potential of -70 mV were 1.1 and 1.3 nA for type I and type II cells, respectively. The rise time of the glycine current for the two groups of cells was similar (52 ms for type I and 57 ms for type II), but the decay of currents to half-maximum amplitude following the offset of the iontophoretic pulse was longer in type II cells (340 ms) than in type I cells (173 ms). No differences between the two groups were noted with regard to the outward rectification of peak currents or the voltage dependence of current decay. 5. The reversal potential of glycine-evoked responses was determined in extracellular solutions with varying chloride concentrations. The change in the glycine reversal potential (54 mV) for a 10-fold change in chloride concentration was similar to the change in the chloride equilibrium potential (58 mV) over the same range of extracellular chloride concentrations. A similar result was obtained by maintaining the extracellular chloride concentration constant and varying the chloride concentration in the intracellular solution. Glycine-evoked responses were not affected by changes in the potassium or sodium equilibrium potentials. The glycine receptors are therefore principally permeable to chloride. 6. In the VCN, glycine-mediated currents are readily evoked from the majority of larger neurons, indicating an abundance of glycine receptors on the somata and proximal processes of these neurons. The properties of glycine receptors in VCN and other areas of the nervous system are generally similar. The voltage dependence of glycine-evoked currents implies that the inhibitory effectiveness of glycine receptors in VCN increases nonlinearly with depolarization.

Differential effects of dopamine agonists on acoustically and electrically elicited startle responses: comparison to effects of strychnine.

This study sought to determine where drugs that are known to alter sensorimotor reactivity measured with the acoustic startle reflex ultimately act within the acoustic startle pathway. To do this, startle was elicited either acoustically or electrically within various nuclei believed to comprise the acoustic startle pathway. Direct infusion of serotonin into the subarachnoid space of the lumbar spinal cord increased acoustic startle and startle elicited electrically through the ventral cochlear nucleus (VCN) to a comparable degree. Subconvulsant doses of strychnine increased startle elicited acoustically or electrically through either the VCN or the nucleus reticularis pontis caudalis (RPC), pointing to a spinal locus of action of strychnine after systemic administration. In marked contrast, the dopamine agonists d-amphetamine and apomorphine consistently increased acoustic startle but actually depressed startle elicited electrically through the VCN or the RPC. These later results suggest that dopamine agonists increase sensorimotor reactivity measured with acoustic startle by acting on sensory rather than motor parts of the reflex arc.

Fear conditioning, pre-pulse inhibition and drug modulation of a short latency startle response measured electromyographically from neck muscles in the rat.

The present study evaluated if startle measured electromyographically in the neck muscles (having a 5 msec latency) would exhibit behavioral and pharmacological plasticity known to alter startle measured in a stabilimeter device. A total of 15 rats were implanted with bilateral EMG electrodes in the dorsal neck muscles and subsequently exposed to a variety of manipulations known to affect the whole-body startle response. The peak-to-peak EMG response that occurred within 10 msec of startle stimulus onset displayed pre-pulse inhibition, enhancement by prior fear conditioning, inhibition by clonidine, and enhancement by strychnine. The data are discussed in terms of modulation of neural transmission along a primary startle-mediating pathway.

Cocaine: effects on acoustic startle and startle elicited electrically from the cochlear nucleus.

Startle-like responses can be elicited by single pulse electrical stimulation of nuclei within the acoustic startle pathway. Compared with acoustically-elicited startle, this technique provides a method for localizing the ultimate sites of action of a drug that affects the acoustic startle response. Strychnine (1 mg/kg) increased both acoustically-elicited startle and startle elicited from the ventral cochlear nucleus (VCN), the first central nucleus in the acoustic startle pathway. In contrast, cocaine (10 mg/kg) increased acoustically-elicited startle but depressed VCN-elicited startle. These results suggest that cocaine increases startle by acting on sensory rather than final motor systems and are discussed in relation to the putative effect of cocaine on dopamine neurotransmission and the involvement of dopamine in sensorimotor reactivity.

Purification and partial characterization of a 19kD/pI 4.5 nucleolar phosphoprotein.

Two-dimensional PAGE analysis of proteins associated with the slowly sedimenting "fibrillar" structures of HeLa nucleoli revealed a protein with a M of 19,000 and a pI of 4.5 which was highly labeled both with 32P-orthophosphate and 35S-methionine. The protein was isolated from Novikoff hepatoma nucleoli by extraction in 0.35 M NaCl and 5 mM DTT followed by chromatography in EDTA on DEAE-cellulose and Sephadex G-100. The protein was homogeneous with respect to two-dimensional PAGE, number of tryptic peptides and carboxyl terminal analysis. The protein contained an acidic/basic amino acid ratio of 2.1, 7 residues of methionine, 2 residues of cysteine, a blocked amino terminus and a carboxyl terminal lysylleucine.