Hamiltonian Engineering with Multicolor Drives for Fast Entangling Gates and Quantum Crosstalk Cancellation.

Quantum computers built with superconducting artificial atoms already stretch the limits of their classical counterparts. While the lowest energy states of these artificial atoms serve as the qubit basis, the higher levels are responsible for both a host of attractive gate schemes as well as generating undesired interactions. In particular, when coupling these atoms to generate entanglement, the higher levels cause shifts in the computational levels that lead to unwanted ZZ quantum crosstalk. Here, we present a novel technique to manipulate the energy levels and mitigate this crosstalk with simultaneous off-resonant drives on coupled qubits. This breaks a fundamental deadlock between qubit-qubit coupling and crosstalk. In a fixed-frequency transmon architecture with strong coupling and crosstalk cancellation, additional cross-resonance drives enable a 90 ns CNOT with a gate error of (0.19±0.02)%, while a second set of off-resonant drives enables a novel CZ gate. Furthermore, we show a definitive improvement in circuit performance with crosstalk cancellation over seven qubits, demonstrating the scalability of the technique. This Letter paves the way for superconducting hardware with faster gates and greatly improved multiqubit circuit fidelities.

Demonstration of a High-Fidelity cnot Gate for Fixed-Frequency Transmons with Engineered ZZ Suppression.

Improving two-qubit gate performance and suppressing cross talk are major, but often competing, challenges to achieving scalable quantum computation. In particular, increasing the coupling to realize faster gates has been intrinsically linked to enhanced cross talk due to unwanted two-qubit terms in the Hamiltonian. Here, we demonstrate a novel coupling architecture for transmon qubits that circumvents the standard relationship between desired and undesired interaction rates. Using two fixed frequency coupling elements to tune the dressed level spacings, we demonstrate an intrinsic suppression of the static ZZ while maintaining large effective coupling rates. Our architecture reveals no observable degradation of qubit coherence (T_{1},T_{2}>100 µs) and, over a factor of 6 improvement in the ratio of desired to undesired coupling. Using the cross-resonance interaction, we demonstrate a 180 ns single-pulse controlled not (cnot) gate, and measure a cnot fidelity of 99.77(2)% from interleaved randomized benchmarking.

Tunable Coupling Architecture for Fixed-Frequency Transmon Superconducting Qubits.

Implementation of high-fidelity 2-qubit operations is a key ingredient for scalable quantum error correction. In superconducting qubit architectures, tunable buses have been explored as a means to higher-fidelity gates. However, these buses introduce new pathways for leakage. Here we present a modified tunable bus architecture appropriate for fixed-frequency qubits in which the adiabaticity restrictions on gate speed are reduced. We characterize this coupler on a range of 2-qubit devices, achieving a maximum gate fidelity of 99.85%. We further show the calibration is stable over one day.

Experimental Demonstration of a Resonator-Induced Phase Gate in a Multiqubit Circuit-QED System.

The resonator-induced phase (RIP) gate is an all-microwave multiqubit entangling gate that allows a high degree of flexibility in qubit frequencies, making it attractive for quantum operations in large-scale architectures. We experimentally realize the RIP gate with four superconducting qubits in a three-dimensional circuit-QED architecture, demonstrating high-fidelity controlled-z (cz) gates between all possible pairs of qubits from two different 4-qubit devices in pair subspaces. These qubits are arranged within a wide range of frequency detunings, up to as large as 1.8 GHz. We further show a dynamical multiqubit refocusing scheme in order to isolate out 2-qubit interactions, and combine them to generate a 4-qubit Greenberger-Horne-Zeilinger state.

Charge noise spectroscopy using coherent exchange oscillations in a singlet-triplet qubit.

Two level systems that can be reliably controlled and measured hold promise as qubits both for metrology and for quantum information science. Since a fluctuating environment limits the performance of qubits in both capacities, understanding environmental coupling and dynamics is key to improving qubit performance. We show measurements of the level splitting and dephasing due to the voltage noise of a GaAs singlet-triplet qubit during exchange oscillations. Unexpectedly, the voltage fluctuations are non-Markovian even at high frequencies and exhibit a strong temperature dependence. This finding has impacts beyond singlet-triplet qubits since nearly all solid state qubits suffer from some kind of charge noise. The magnitude of the fluctuations allows the qubit to be used as a charge sensor with a sensitivity of 2 × 10(-8)e/sqrt[Hz], 2 orders of magnitude better than a quantum-limited rf single electron transistor. Based on these measurements, we provide recommendations for improving qubit coherence, allowing for higher fidelity operations and improved charge sensitivity.

Demonstration of entanglement of electrostatically coupled singlet-triplet qubits.

Quantum computers have the potential to solve certain problems faster than classical computers. To exploit their power, it is necessary to perform interqubit operations and generate entangled states. Spin qubits are a promising candidate for implementing a quantum processor because of their potential for scalability and miniaturization. However, their weak interactions with the environment, which lead to their long coherence times, make interqubit operations challenging. We performed a controlled two-qubit operation between singlet-triplet qubits using a dynamically decoupled sequence that maintains the two-qubit coupling while decoupling each qubit from its fluctuating environment. Using state tomography, we measured the full density matrix of the system and determined the concurrence and the fidelity of the generated state, providing proof of entanglement.

Anomalous structure in the single particle spectrum of the fractional quantum Hall effect.

The two-dimensional electron system is a powerful laboratory for investigating the physics of interacting particles. Application of a large magnetic field produces massively degenerate quantum levels known as Landau levels; within a Landau level the kinetic energy of the electrons is suppressed, and electron-electron interactions set the only energy scale. Coulomb interactions break the degeneracy of the Landau levels and can cause the electrons to order into complex ground states. Here we observe, in the high energy single particle spectrum of this system, salient and unexpected structure that extends across a wide range of Landau level filling fractions. The structure appears only when the two-dimensional electron system is cooled to very low temperatures, indicating that it arises from delicate ground state correlations. We characterize this structure by its evolution with changing electron density and applied magnetic field, and present two possible models for understanding these observations. Some of the energies of the features agree qualitatively with what might be expected for composite fermions, which have proven effective for interpreting other experiments in this regime. At the same time, a simple model with electrons localized on ordered lattice sites also generates structure similar to that observed in the experiment. Neither of these models alone is sufficient to explain the observations across the entire range of densities measured. The discovery of this unexpected prominent structure in the single particle spectrum of an otherwise thoroughly studied system suggests that there exist core features of the two-dimensional electron system that have yet to be understood.

High-resolution spectroscopy of two-dimensional electron systems.

Spectroscopic methods involving the sudden injection or ejection of electrons in materials are a powerful probe of electronic structure and interactions. These techniques, such as photoemission and tunnelling, yield measurements of the 'single-particle' density of states spectrum of a system. This density of states is proportional to the probability of successfully injecting or ejecting an electron in these experiments. It is equal to the number of electronic states in the system able to accept an injected electron as a function of its energy, and is among the most fundamental and directly calculable quantities in theories of highly interacting systems. However, the two-dimensional electron system (2DES), host to remarkable correlated electron states such as the fractional quantum Hall effect, has proved difficult to probe spectroscopically. Here we present an improved version of time-domain capacitance spectroscopy that allows us to measure the single-particle density of states of a 2DES with unprecedented fidelity and resolution. Using the method, we perform measurements of a cold 2DES, providing direct measurements of interesting correlated electronic effects at energies that are difficult to reach with other techniques; these effects include the single-particle exchange-enhanced spin gap, single-particle lifetimes in the quantum Hall system, and exchange splitting of Landau levels not at the Fermi surface.

Diffractive lens fabricated with binary features less than 60 nm.

We designed, fabricated, and characterized a binary diffractive lens with features less than 60 nm. The lens was designed for operation in the red portion of the spectrum. Experimental measurements of lens performance agree with predictions generated by rigorous models of diffraction.

Endocrine and ovulatory responses of the gilt to exogenous gonadotropins and estradiol during sexual maturation.

Three studies were conducted to investigate the endocrine and ovulatory responses of the prepubertal gilt to exogenous estradiol and gonadotropins. In Study One, prepubertal gilts of 190 days of age were injected s.c. with pregnant mare's serum gonadotropin (PMSG) or physiological saline (SAL). Following PMSG injection, circulating levels of estradiol-17 beta (E2) increased. This increase was followed by a surge of luteinizing hormone (LH), estrus, a rise in progesterone (P4) levels, and ovulation. None of the gilts given SAL had increased levels of E2, LH or P4, and none ovulated. In Study Two, prepubertal gilts of 165 days of age were treated with varying doses of PMSG. A positive correlation was observed between dose of PMSG and peak levels of E2 (r = 0.83, P less than 0.001) and between dose of PMSG and number of corpora lutea (r = 0.96, P less than 0.001). In Study Three, gilts were treated at ages of 70 to 190 days with estradiol benzoate (EB), PMSG, or corn oil plus saline (CO/SAL) followed in 72 to 96 h by human chorionic gonadotropin (hCG) or SAL. All gilts treated with EB at 100 to 175 days of age had two surges of LH at an approximately 24-h interval. Gilts responding to EB at 70 and 190 days had only one surge of LH. Gilts of 100 days of age or older responded to PMSG with a single surge or two surges of LH. Ovulation in response to treatment was observed in gilts of 100 days of age or greater but not at 70 days. The conclusions drawn from these studies are that 1) PMSG-induced ovulation is preceded by an increase in circulating levels of E2 and in some gilts by a surge of LH, and 2) prepubertal gilts are able to respond to exogenous endocrine stimulation with either a single surge or multiple surges of LH at 70 to 190 days but are unable to ovulate in response to exogenous gonadotropins until 100 days of age.

Estrous behavior and circadian discharge of luteinizing hormone in the prepubertal gilt in response to exogenous estrogen.

The influence of varying doses of estradiol benzoate (EB) on the induction of estrus and luteinizing hormone (LH) discharge was studied in crossbred prepubertal gilts of 135 to 150 days of age. Five gilts were assigned randomly to each of 6 groups and treated with 0, 10, 20, 100 or 200 micrograms EB/kg body weight (BW) at 1200 h or with 10 micrograms/kg at 2400 h. The characteristics of the estrous and endocrine responses of the prepubertal gilts to EB were compared to the responses of 4 ovariectomized, adult gilts treated with EB. Dose of EB administered to prepubertal gilts had no influence on the interval from injection to estrus. Amount of EB administered, however, was correlated positively (r = 0.82, P less than 0.001) with the duration of estrus. Increasing the dose of EB tended to increase (0.05 less than P less than 0.10) the proportion of prepubertal gilts in estrus. Ovariectomized adult gilts treated with 10 micrograms EB/kg BW were in estrus for a duration similar to that of prepubertal gilts treated with that dose of EB. All doses of EB induced at least one surge of LH in each prepubertal gilt. As the dose of EB was increased, a greater proportion of prepubertal gilts showed 2 surges of LH at a 24-h interval. Dose had no influence either on the magnitude or the duration of LH surges. In all gilts, whether prepubertal or mature, surges of LH occurred at either 2400 or 0600 h. Thus, gilts treated with EB at either 2400 or 1200 h were asynchronous with respect to time after treatment until LH peak but were synchronous relative to the time during the day of LH surge. Ovariectomized adult gilts treated with EB had a single surge of LH that was similar in magnitude and duration to the first surge of LH observed in prepubertal gilts.(ABSTRACT TRUNCATED AT 400 WORDS)