A Note on Linear Optics Gates by Post-Selection

Abstract

Recently it was realized that linear optics and photo-detectors with feedback can be used for theoretically efficient quantum information processing. The first of three steps toward efficient linear optics quantum computation (eLOQC) was to design a simple non-deterministic gate, which upon post-selection based on a measurement result implements a non-linear phase shift on one mode. Here a computational strategy is given for finding non-deterministic gates for bosonic qubits with helper photons. A more efficient conditional sign flip gate is obtained.

14 pages. Minor changes for clarity

References in corpus (4)

• Probabilistic Quantum Logic Operations Using Polarizing Beam Splitters
• Simple Scheme for Efficient Linear Optics Quantum Gates
• Generalized measurements by linear elements
• A simple gate for linear optics quantum computing

Cited by in corpus (61)

• Review article: Linear optical quantum computing
• A near deterministic linear optical CNOT gate
• Optical quantum computation using cluster states
• Quantum dot single photon sources: Prospects for applications in linear optics quantum information processing
• Waveguide single-photon detectors for integrated quantum photonic circuits
• Frequency-encoded photonic qubits for scalable quantum information processing
• Demonstration of a simple entangling optical gate and its use in Bell-state analysis
• Two-photon interference: the Hong-Ou-Mandel effect
• Deterministic linear optics quantum computation utilizing linked photon circuits
• Quantum Computational Advantage via High-Dimensional Gaussian Boson Sampling
• Linear optics quantum Toffoli and Fredkin gates
• Scalable photonic quantum computing assisted by quantum-dot spin in double-sided optical microcavity
• Optimal photons for quantum information processing
• Single-photon device requirements for operating linear optics quantum computing outside the post-selection basis
• Introduction to Quantum Error Correction
• Bounds on the Probability of Success of Postselected Non-linear Sign Shifts Implemented with Linear Optics
• Frequency and temporal effects in linear optical quantum computing
• Maximal Success Probabilities of Linear-Optical Quantum Gates
• General linear-optical quantum state generation scheme: Applications to maximally path-entangled states
• Improved Heralded Schemes to Generate Entangled States From Single Photons
• Upper bounds on success probabilities in linear optics
• Universal quantum computation on the power of quantum non-demolition measurements
• Temporal trapping: a route to strong coupling and deterministic optical quantum computation
• Engineering integrated photonics for heralded quantum gates
• Experimental requirements for Grover's algorithm in optical quantum computation
• Linear-optical programmable quantum router
• Linear-Optical Hyperentanglement-Assisted Quantum Error-Correcting Code
• Utilizing Encoding in Scalable Linear Optics Quantum Computing
• Digital Discovery of 100 diverse Quantum Experiments with PyTheus
• Linear-optical implementations of the iSWAP and controlled NOT gates based on conventional detectors
• Entanglement-assisted scheme for nondemolition detection of the presence of a single photon
• Robust, scalable Hong-Ou-Mandel manifolds in quantum optical ring resonators
• The complexity of simulating constant-depth BosonSampling
• Strong Simulation of Linear Optical Processes
• Comparison of LOQC C-sign gates with ancilla inefficiency and an improvement to functionality under these conditions
• Thresholds for Linear Optics Quantum Computing with Photon Loss at the Detectors
• Feed-forward and its role in conditional linear optical quantum dynamics
• An Algebraic Approach to Linear-Optical Schemes for Deterministic Quantum Computing
• Generic Two-Qubit Photonic Gates Implemented by Number-Resolving Photodetection
• Scaling of success probabilities for linear optics gates
• Programmable coherent linear quantum operations with high-dimensional optical spatial modes
• Conditions for Factorizable Output From a Beam splitter
• Photon Added Detection
• A counterfactual Rydberg gate for photons
• Teleportation-Assisted Optical CSIGN Gates
• Entangling photons via the double quantum Zeno effect
• Arbitrary Multi-Qubit Generation
• Implementing Non-Projective Measurements via Linear Optics: an Approach Based on Optimal Quantum State Discrimination
• Imperfect Linear Optical Photonic Gates with Number-Resolving Photodetection
• Heralded gate search with genetic algorithms for quantum computation
• Engineering multiphoton states for linear optics computation
• Quantum Computing: Linear Optics Implementations
• On computational complexity and average-case hardness of shallow-depth boson sampling
• Proposed Experiment in Two-Qubit Linear Optical Photonic Gates for Maximal Success Rates
• Building a fusion-based quantum computer using teleported gates
• The Computational Power of Non-interacting Particles
• Quantum Constraint Problems can be complete for $\mathsf{BQP}$, $\mathsf{QCMA}$, and more
• Finding Photonics Circuits via $\delta$-weakening SMT
• Universal Quantum Computation with Shutter Logic
• Fock Space Perspective on Optimal Heralding Schemes
• Linear optical fan-out gates using fewer ancillary single photons with enhanced success probability