Charge detection enables free-electron quantum computation

Abstract

It is known that a quantum computer operating on electron-spin qubits with single-electron Hamiltonians and assisted by single-spin measurements can be simulated efficiently on a classical computer. We show that the exponential speed-up of quantum algorithms is restored if single-charge measurements are added. These enable the construction of a CNOT (controlled NOT) gate for free fermions, using only beam splitters and spin rotations. The gate is nearly deterministic if the charge detector counts the number of electrons in a mode, and fully deterministic if it only measures the parity of that number.

5 pages including 3 figures

References in corpus (15)

• Quantum Computation with Quantum Dots
• Quantum Teleportation is a Universal Computational Primitive
• Encoding a qubit in an oscillator
• On Bell measurements for teleportation
• Probabilistic Quantum Logic Operations Using Polarizing Beam Splitters
• Linear Optical CNOT Gate in the Coincidence Basis
• Classical simulation of noninteracting-fermion quantum circuits
• Methods for Reliable Teleportation
• Noise of Entangled Electrons: Bunching and Antibunching
• Quantum phase gate for photonic qubits using only beam splitters and post-selection
• High-fidelity quantum logic operations using linear optical elements
• Generic entanglement generation, quantum statistics and complementarity
• Probabilistic manipulation of entangled photons
• Excited-state spectroscopy on a nearly-closed quantum dot via charge detection
• Experimental requirements for Grover's algorithm in optical quantum computation

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