, in which the resonant
cavity confines photons and promotes"]strong light-matter interactions. The
cavity end-mirrors determine the performance of the coupled system, with higher
mirror reflectivity yielding better quantum coherence, but higher mirror
transparency giving improved measurement and control, forcing a compromise. An
alternative is to control the mirror transparency, enabling switching between
long photon lifetime during quantum interactions and large signal strength when
performing measurements. Here we demonstrate the superconducting analogue,
using a quantum system comprising a resonator and a qubit, with variable
coupling to a measurement transmission line. The coupling can be adjusted
through zero to a photon emission rate 1,000 times the intrinsic photon decay
rate. We use this system to control photons in coherent states as well as in
non-classical Fock states, and dynamically shape the waveform of released
photons. This has direct applications to circuit quantum electrodynamics [3],
and may enable high-fidelity quantum state transfer between distant qubits, for
which precisely-controlled waveform shaping is a critical and non-trivial
requirement [4, 5].
Simple quantum error detection and correction for superconducting qubits
We analyze simple quantum error detection and quantum error correction
protocols relevant to current experiments with superconducting qubits. We show
that for qubits with energy relaxation
the repetitive N-qubit codes cannot be
used for quantum error correction, but can be used for quantum error detection.
In the latter case it is sufficient to use only two qubits for the encoding. In
the analysis we demonstrate a useful technique of unraveling the qubit energy
relaxation into „relaxation“ and „no relaxation“ scenarios. Also, we propose
and numerically analyze several two-qubit algorithms for quantum error
detection/correction, which can be readily realized at the present-day level of
the phase qubit technology.