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Published on: August 2, 2019
Measurement-Induced State Transitions in a Superconducting Qubit: Beyond the Rotating Wave Approximation.
Daniel Sank1, Zijun Chen2, Mostafa Khezri3,4
1Google Inc., Santa Barbara, California 93117, USA.
High photon numbers in superconducting qubit resonators can cause unwanted qubit transitions. These transitions, explained by Jaynes-Cummings ladder level crossings and broken symmetry, are resonant with photon number.
Area of Science:
- Quantum computing
- Superconducting circuits
- Quantum measurement
Background:
- Superconducting qubits commonly use dispersive readout via coupled harmonic resonators.
- High photon counts during measurement can induce unintended qubit state transitions.
Purpose of the Study:
- Investigate qubit transitions induced by high photon numbers in resonators.
- Develop a theoretical model for these transitions.
- Identify the underlying physical mechanisms driving these transitions.
Main Methods:
- Theoretical modeling based on Jaynes-Cummings ladder and Hamiltonian terms beyond the rotating wave approximation.
- Experimental measurements of resonator photon occupation during qubit transitions.
- Systematic variation of qubit-resonator detuning.
Main Results:
- Qubit transitions can occur when photon numbers are high, pushing qubits out of the two-level subspace.
- These transitions exhibit resonant behavior as a function of photon number.
- An unexpected broken symmetry in the qubit potential significantly contributes to the transitions.
Conclusions:
- The observed qubit transitions are explained by level crossings in the Jaynes-Cummings ladder.
- Non-rotating wave approximation terms, particularly those arising from broken symmetry, are crucial for understanding these transitions.
- Experimental results confirm the theoretical predictions, validating the model.
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