Abstract
Quantum computation offers potential advantages in solving a number of interesting and difficult problems. Several controlled logic gates, the elemental building blocks of quantum computer, have been realized with various physical systems. A general technique was recently proposed that significantly reduces the realization complexity of multiple-control logic gates by harnessing multi-level information carriers. We present implementations of a key quantum circuit: the three-qubit Toffoli gate. By exploring the optical selection rules of one-sided optical microcavities, a Toffoli gate may be realized on all combinations of photon and quantum spins in the QD-cavity. The three general controlled-NOT gates are involved using an auxiliary photon with two degrees of freedom. Our results show that photons and quantum spins may be used alternatively in quantum information processing.
Highlights
Quantum computation offers potential advantages in solving a number of interesting and difficult problems
A general technique was recently proposed that significantly reduces the realization complexity of multiple-control logic gates by harnessing multilevel information carriers
By exploring the optical selection rules of one-sided optical microcavities, a Toffoli gate may be realized on all combinations of photon and quantum spins in the quantum dot (QD)-cavity
Summary
Quantum computation offers potential advantages in solving a number of interesting and difficult problems. Based on the qubit system in two-dimensional Hilbert space, most quantum algorithms[1,2,3,4] require a large number of qubits to encode information[5,6,7] These quantum algorithms may be realized by special quantum circuits consisting of basic gates corresponding to unitary matrices. Qubit-based quantum applications require a two-level structure on atom, ion or photon systems that naturally have many accessible degrees of freedom (DOFs). These DOFs may be regarded as high-dimensional systems. By making use of a multiple-level target system, they showed that the Toffoli gate and general two-qubit controlled-unitary gates may be realized with linear optics Their multiple-level target system is unscalable for large-scale applications such as Shor’s algorithm. This flaw is addressed by using multiple-level auxiliary states[31], which may result in a high-dimensional quantum Fourier transformation
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