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The time response of a linear time-invariant (LTI) system can be divided into transient and steady-state responses. The transient response represents the system's initial reaction to a change in input and diminishes to zero over time. In contrast, the steady-state response is the behavior that persists after the transient effects have faded.
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System stability is a fundamental concept in signal processing, often assessed using convolution. For a system to be considered bounded-input bounded-output (BIBO) stable, any bounded input signal must produce a bounded output signal. A bounded input signal is one where the modulus does not exceed a certain constant at any point in time.
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The stability of equilibrium configurations is an important concept in physics, engineering, and other related fields. In simple terms, it refers to the tendency of an object or system to return to its equilibrium position after being disturbed. The stability of an equilibrium configuration can be analyzed by considering the potential energy function of the system and examining its behavior near the equilibrium point.
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Reservoir engineering now stabilizes continuous quantum states, not just discrete ones. This breakthrough enables faster switching between states, paving the way for advanced quantum error correction.

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Area of Science:

  • Quantum Physics
  • Quantum Information Science

Background:

  • Traditional reservoir engineering stabilizes discrete entangled quantum states.
  • Limitations exist in stabilizing continuous quantum states.

Purpose of the Study:

  • To enhance reservoir engineering for stabilizing a continuous manifold of quantum states.
  • To enable programmable selection of stabilized states using continuous tuning parameters.

Main Methods:

  • Utilized multiple continuous tuning parameters for programmable state selection.
  • Experimentally demonstrated stabilization of odd and even-parity Bell states.
  • Implemented fast dissipative switching between stabilized states.

Main Results:

  • Achieved 84.6% stabilization fidelity for odd-parity Bell states.
  • Achieved 82.5% stabilization fidelity for even-parity Bell states.
  • Demonstrated switching between states in 1.8 μs and 0.9 μs.

Conclusions:

  • Reservoir engineering can be extended to continuous quantum states.
  • Programmable state selection and fast switching are experimentally validated.
  • This work is a precursor for novel reservoir engineering-based quantum error correction schemes.