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Bulletin of the American Physical Society

Synthesizing arbitrary photon states in a superconducting resonator: The quantum digital to analog converter

John M. Martinis

Published May 23, 2009• 0 citations
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Precise voltage generation is a unique feature of superconducting single-flux-quantum (SFQ) circuits, and hence, several SFQ-based digital-to-analog converters (DACs) have been designed for metrological applications. In this letter, we propose a dual double-flux-quantum amplifier (dual-DFQA) that extends DAC output voltage from unipolar to bipolar. An SFQ-based DAC comprising a 4-bit variable pulse number multiplier and a ±20-fold dual-DFQA is fabricated using a niobium integration technology. A 1-kHz, ±0.29-mV sinusoidal voltage waveform is successfully synthesized.

IEICE Electronics Express•Jan 1, 2016•5 citations
Two-level systems, or qubits, afford complete quantum control using only classical electrical signals. Achieving the same degree of control over harmonic resonators and photons has remained elusive, due to their infinite number of equally spaced energy levels. We exploit our complete qubit control by using a superconducting phase qubit to pump microwave photons into a high-Q coplanar wave guide resonator and, subsequently, use the qubit to read out the resonator state. This scheme has previously allowed us to prepare and detect photon number states (Fock states [1]) in the resonator and to measure their decay. Using a generalization of a scheme developed by Law and Eberly [2], we can now create arbitrary quantum states of the photon field with up to approximately 10 photons [3]. We analyze the prepared states by directly mapping out the corresponding Wigner function, which is the phase-space equivalent of the density matrix, and provides a complete description of the quantum state. Movies of the decay of a variety of non-classical states show a loss of quantum coherence over the energy decay time of the resonator.
We have developed a Josephson digital-to-analog converter, otherwise know as a Josephson arbitrary waveform synthesizer, with 300 mV peak output voltage. This is the first system of its kind with demonstrated quantum accuracy. We show precision synthesized waveforms from dc to 100 kHz with measured distortion and harmonic content below 115 dBc (dB below the carrier or fundamental). The heart of the system is a superconducting microwave integrated circuit with two Josephson junction arrays biased in parallel for the microwave drive and connected in series to double the voltage for the audio frequency output waveforms. New superconducting integrated circuits with twice as many stacked junctions and improved microwave circuits have allowed us to more than double the output voltage of our recent system. We also demonstrate that quantum-based synthesized arbitrary waveforms (not just sine waves) can be used for precision measurements of a high-performance commercial analog-to-digital converter.
Precise voltage generation is a unique feature of superconducting single-flux-quantum (SFQ) circuits, and hence, several SFQ-based digital-to-analog converters (DACs) have been designed for metrological applications. In this letter, we propose a dual double-flux-quantum amplifier (dual-DFQA) that extends DAC output voltage from unipolar to bipolar. An SFQ-based DAC comprising a 4-bit variable pulse number multiplier and a ±20-fold dual-DFQA is fabricated using a niobium integration technology. A 1-kHz, ±0.29-mV sinusoidal voltage waveform is successfully synthesized.