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Physical Review B

Process tomography of coherent state transfer from light polarization to electron spin polarization in a semiconductor

Takahiro Inagaki, Hideo Kosaka, Yasuyoshi Mitsumori, Keiichi Edamatsu

Published Feb 24, 2014• 3 citations
Publisher

Abstract

We performed process tomography of a coherent state transfer from light polarization into electron spin polarization in a semiconductor quantum well. The density matrix of the generated electron spin state was reconstructed by a three-dimensional tomographic Kerr rotation measurement so that we could quantitatively evaluate the transfer process. We found that the process fidelity of the state transfer was 81% and clarified that the phase-flip error caused by mixing with another Zeeman sublevel at the hole state was the major contributor to fidelity degradation.

DOI
10.1103/physrevb.89.085311

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We performed process tomography of a coherent state transfer from light polarization into electron spin polarization in a semiconductor quantum well. The density matrix of the generated electron spin state was reconstructed by a three-dimensional tomographic Kerr rotation measurement so that we could quantitatively evaluate the transfer process. We found that the process fidelity of the state transfer was 81% and clarified that the phase-flip error caused by mixing with another Zeeman sublevel at the hole state was the major contributor to fidelity degradation.
We demonstrate that the superposition of light polarization states is coherently transferred to electron spins in a semiconductor quantum well. By using time-resolved Kerr rotation, we observe the initial phase of Larmor precession of electron spins whose coherence is transferred from light. To break the electron-hole spin entanglement, we utilized the big discrepancy between the transverse g factors of electrons and light-holes. The result encourages us to make a quantum media converter between flying photon qubits and stationary electron-spin qubits in semiconductors.
Spin coherence is essential for spin-based quantum information technology. The conventional spin measurement technique, however, requires an extra step of spin manipulation or precession to measure the electron spin coherence. To measure the electron spin coherence directly, we have developed the tomographic Kerr rotation (TKR) method, which is based on the magneto-optical Kerr effect on the condition of the coherent transfer of light polarization states into electron spin states in a GaAs/AlGaAs quantum well. The TKR method allows measurement of the coherent superposition state of electron spins |±y>e = (|↑>e±i|↓>e)/√2 in addition to conventionally measured ±z states (|↑>e or |↓>e) (which merely indicate the population of electron spins). Here we demonstrate that electron spin coherence can be measured by linearly polarized probe light to show that TKR is independent of the choice of probe light polarization. We also describe a method to distinguish TKR from the conventional magnetic circular dichroism (MCD) effect.
Spin is a fundamental property of electrons and plays an important role in information storage. For spin-based quantum information technology, preparation and read-out of the electron spin state must be spin coherent, but both the traditional preparation and read-out of the spin state are projective to up/down spin states, which do not have spin coherence. We have recently demonstrated that the polarization coherence of light can be coherently transferred to the spin coherence of electrons in a semiconductor. We have also developed a new scheme named tomographic Kerr rotation (TKR) by generalizing the traditional KR to directly readout the spin coherence of optically prepared electrons without the need for the spin dynamics, which allows the spin projection measurement in an arbitrary set of basis states. These demonstrations were performed using g-factor-controlled semiconductor quantum wells with precessing and nonprecessing electrons. The developed scheme offers a tool for performing basis-independent preparation and read-out of a spin quantum state in a solid. These results encourage us to make a quantum media converter between flying photon qubits and stationary electron spin qubits in semiconductors.
We demonstrate that the superposition of light polarization states is coherently transferred to electron spins in a semiconductor quantum well. By using time‐resolved Kerr rotation we observe the initial phase of Larmor precession of electron spins whose coherence is transferred from light. To break the electron‐hole spin entanglement, we utilized the big discrepancy between the transverse g‐factors of electrons and light holes. The result encourages us to make a quantum media converter between flying photon qubits and stationary electron spin qubits in semiconductors.