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GENERATION OF QUALITY PULSES FOR CONTROL OF QUBIT/QUANTUM MEMORY SPIN STATES: EXPERIMENTAL AND SIMULATION

Osama M. Nayfeh, Romero, Hector, Lance Lerum, Mohammed Fahem, K J Rothenhaus, C A Keeney

Published Jan 1, 2016• 0 citations
Publisher

Abstract

Abstract : This technical report presents simulation and experimental hardware development of pulsed modulated microwave/radio frequency electronic control circuitry for control of electron/nuclear spin states of qubits/quantum memory applicable to semiconductor, superconductor, ionic and superconductor-ionic hybrid technologies. As the pulse quality and need for development of single pulses with very high quality will impact directly the coherence time of the qubit/memory, we present as an example the integration of cryogenic superconductor components including filters and amplifiers to improve the pulse quality and validate the approach. Control of qubits/quantum memory using this technology will be subject of future report.

DOI
10.13140/rg.2.2.11959.79528

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Abstract : This technical report presents simulation and experimental hardware development of pulsed modulated microwave/radio frequency electronic control circuitry for control of electron/nuclear spin states of qubits/quantum memory applicable to semiconductor, superconductor, ionic and superconductor-ionic hybrid technologies. As the pulse quality and need for development of single pulses with very high quality will impact directly the coherence time of the qubit/memory, we present as an example the integration of cryogenic superconductor components including filters and amplifiers to improve the pulse quality and validate the approach. Control of qubits/quantum memory using this technology will be subject of future report.
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Abstract : Artificial two-level quantum systems are widely investigated as the fundamental building blocks of future quantum computers. These quantum bits (qubits) can be realized in many solid state systems, including Josephson junction based devices, nitrogen vacancy centers in diamond, and electron spins in semiconductor quantum dots. Among these systems, Si is very promising since it can be isotopically purified to eliminate random fluctuating hyperfine fields from lattice nuclei, leading to ultra-long quantum coherence times. However, lower heterostructure quality, higher electron effective mass and valley degeneracy present many challenges in realizing high quality qubits in Si. This thesis demonstrates consistent realization of robust single-electron silicon qubits with high yield. With optimized device designs and DC/RF measurement techniques developed at Petta lab in Princeton University, we have achieved versatile quantum control of a single electron, as well as sensitive read-out of its quantum state. By applying microwave radiation to the gate electrodes, we can probe the energy level structure of the system with 1 mu-eV resolution. We apply bursts of microwave radiation to extract the qubit lifetime, T1 . By experimentally tuning the qubit, we demonstrate a four order of magnitude variation of T1 with gate voltage. We show that our experimental results are consistent with a theory that takes into account phonon-mediated charge relaxation.
Compared to traditional semiconductor control electronics (TSCE) located at room temperature, cryogenic single flux quantum (SFQ) electronics can provide qubit measurement and control alternatives that address critical issues related to scalability of cryogenic quantum processors. Single-qubit control and readout have been demonstrated recently using SFQ circuits coupled to superconducting qubits. Experiments where the SFQ electronics are co-located with the qubit have suffered from excess decoherence and loss due to quasiparticle poisoning of the qubit. A previous experiment by our group showed that moving the control electronics to the 3 K stage of the dilution refrigerator avoided this source of decoherence in a high-coherence 3D transmon geometry. In this paper, we also generate the pulses at the 3 K stage but have optimized the qubit design and control lines for scalable 2D transmon devices. We directly compare the qubit lifetime T1T_1T1​, coherence time T2∗T_2^*T2∗​ and gate fidelity when the qubit is controlled by the Josephson pulse generator (JPG) circuit versus the TSCE setup. We find agreement to within the daily fluctuations for T1T_1T1​ and T2∗T_2^*T2∗​, and agreement to within 10% for randomized benchmarking. We also performed interleaved randomized benchmarking on individual JPG gates demonstrating an average error per gate of 0.460.460.46% showing good agreement with what is expected based on the qubit coherence and higher-state leakage. These results are an order of magnitude improvement in gate fidelity over our previous work and demonstrate that a Josephson microwave source operated at 3 K is a promising component for scalable qubit control.
Quantum computing promises exponential speed-up in solving certain complex problems that would be intractable by classical computers. However, thousands or millions of qubits might be required to solve useful problems. High-precision and low-noise electrical signals are required to manipulate and read the state of a qubit and to control qubit-to-qubit interactions. Current systems use room temperature electronics with many coax cables routed to the qubit chip inside a dilution refrigerator. This approach does not scale to large number of qubits, due to form factor, cost, power consumption and thermal load to the fridge. To address this challenge, a cryogenic qubit controller has been proposed [1]. The first integrated implementation of a cryogenic pulse modulator has been presented in [2], demonstrating the capability of manipulating (drive) the state of superconducting qubits. The work in [3] extends the capability of the controller with 3 main features: frequency-multiplexing to reduce the number of RF cables per qubit, an arbitrary I/Q pulse generation for improved control fidelity and a digitally-intensive architecture with integrated instruction set to enable integration in existing quantum control stacks. This work further advances the prior art by integrating the capability of reading the qubit state and generating the voltage pulses required for drive, readout, 2-qubit operations and qubit characterization. The SoC can drive up to 16 spin qubits by frequency multiplexing over a single RF line, read the state of up to 6 qubits simultaneously and control up to 22 gate potentials. The SoC also integrates a μ\muμ-controller for increased flexibility in implementing the control instruction set. The proposed cryogenic controller can replace all the high-speed control electronics used in conventional solutions today, paving the way towards scalable quantum computers.
A quantum memory at microwave frequencies, able to store the state of multiple superconducting qubits for long times, is a key element for quantum information processing. Electronic and nuclear spins are natural candidates for the storage medium as their coherence time can be well above one second. Benefiting from these long coherence times requires to apply the refocusing techniques used in magnetic resonance, a major challenge in the context of hybrid quantum circuits. Here we report the first implementation of such a scheme, using ensembles of nitrogen-vacancy (NV) centres in diamond coupled to a superconducting resonator, in a setup compatible with superconducting qubit technology. We implement the active reset of the NV spins into their ground state by optical pumping and their refocusing by Hahn echo sequences. This enables the storage of multiple microwave pulses at the picoWatt level and their retrieval after up to 35μ35 μ35μs, a three orders of magnitude improvement compared to previous experiments.