Universal control of an oscillator with dispersive coupling to a qubit

By Stefan Krastanov, Victor V. Albert, Chao Shen, Chang-ling Zou, R. Heeres, B. Vlastakis, Robert J. Schoelkopf, Liang Jiang. 2015

183 citations recorded by the source corpus.

We investigate quantum control of an oscillator mode off-resonantly coupled to an ancillary qubit. In the strong dispersive regime, we may drive the qubit conditioned on the number states of the oscillator, which, together with displacement operations, can achieve universal control of the oscillator. Based on our proof of universal control, we provide a straightforward recipe to perform arbitrary unitary operations on the oscillator. With the capability of universal control, we can significantly reduce the number of operations to prepare the number state $\left|n\right\ensuremath{\rangle}$ from $O\left(n\right)$ to $O\left(\sqrt{n}\right)$. This universal control scheme of the oscillator enables us to efficiently manipulate the quantum information stored in the oscillator, which can be implemented using superconducting circuits.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/a023a91af5753f860fcc30ec0d8da082fd4faca4

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In Atomic and Molecular Physics, and Optics

Citations in the corpus

Fast universal control of an oscillator with weak dispersive coupling to a qubit (2021, methodology): “This example shows that ECD control can be an efficient circuit parameterization, with only 4N total parameters per sequence, a circuit depth comparable to the SNAP protocol [32, 34], and over an order of magnitude fewer parameters than time-domain GRAPE as used in state-of-the-art bosonic experimen”
Efficient Multiphoton Sampling of Molecular Vibronic Spectra on a Superconducting Bosonic Processor (2019, background): “enables the QND mapping of any binary valued operator of the cavityHilbert space onto the state of the transmon [11,12].”
New class of quantum error-correcting codes for a bosonic mode (2016, methodology): “, a superconducting qubit [41,42], a trapped ion [45–48], or a Rydberg atom [32,33].”
Microwave photonics with superconducting quantum circuits (2017, background): “This dispersive coupling between a qubit and a resonator can be used to simultaneously manipulate hundreds of photons, to create superpositions of coherent states [367], and to control photon states [368].”
Quantum information processing and quantum optics with circuit quantum electrodynamics (2020, background): “Such brute-force approaches are viable up to around 1,000 qubits — a loose estimate — limited primarily by packaging, signal routing and the size of dilution refrig-a”