Electro-Optic Fourier Transform Chronometry of Pulsed Quantum Light

Abstract

The power spectrum of an optical field can be acquired without a spectrally resolving detector by means of Fourier-transform spectrometry, based on measuring the temporal autocorrelation of the optical field. Analogously, we here perform temporal envelope measurements of ultrashort optical pulses without time resolved detection. We introduce the technique of Fourier transform chronometry, where the temporal envelope is acquired by measuring the frequency autocorrelation of the optical field in a linear interferometer. We apply our technique, which is the time-frequency conjugate measurement to Fourier-transform spectrometry, to experimentally measure the pulse envelope of classical and single photon light pulses.

Teleportation-based error correction protocol of time-frequency qubits states

“…In [1], we also argue that frequency noise arises from frequency broadening caused by the generation of photon pairs itself, and we describe one method to correct such a noise. There are numerous processes that can distort the spectral distribution of single photons, such as distortions caused by frequency shifts induced by electro-optic modulators [49,50], or the presence of a filter during single photon heralding. σ is the half-width of the Gaussian peak, and ∆ is the spectral separation between the two logical states (b) Time-frequency GKP state.…”

“…The receiver sends to spatial port c which detectors have measured coincidences, and then a product of Pauli matrix gates must be applied to recover the initial state of interest. Pauli matrices for the time-frequency cat states are frequency and temporal shifts operations [1], which can be implemented by either a electro-optical modulator [49,50] and a delay line respectively. The full optical scheme of the teleportation-based error correction protocol is represented in Fig.…”

Teleportation-Based Error Correction Protocol of Time–Frequency Qubit States

“…In [1], we also argue that the frequency noise arises from frequency broadening caused by the generation of photon pairs itself, and we describe one method to correct such noise. There are numerous processes that can distort the spectral distribution of single photons, such as distortions caused by frequency shifts induced by electro-optic modulators [48,49], or the presence of a filter during single-photon heralding.…”

“…The receiver sends to spatial port c which detectors have measured coincidences, and then a product of Pauli matrix gates must be applied to recover the initial state of interest. The Pauli matrices for the time-frequency cat states are frequency and temporal shifts operations [1], which can be implemented by either an electro-optical modulator [48,49] and a delay line, respectively. The full optical scheme of the teleportation-based error correction protocol is represented in Figure 6, along with an illustration of the effect of the error correction for qubit cat states.…”