Error Correction Using Squeezed Fock States

Abstract

The paper addresses the construction an error correction code for quantum calculations based on squeezed Fock states. It is shown that the use of squeezed Fock states makes it possible to satisfy the Knill-Laflamme (KL) criteria for bosonic error correction codes. It is shown that the first squeezed Fock state corrects both photon loss and dephasing errors better than higher-order states. A comparison of the proposed protocol with an error correction protocol based on the squeezed Schrodinger's cat states is carried out on the basis of the KL cost function. It is shown that the squeezed first Fock state better protects a channel with photon loss and dephasing.

References in corpus (43)

• Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
• Encoding a qubit in an oscillator
• Detection of 15 dB Squeezed States of Light and their Application for the Absolute Calibration of Photoelectric Quantum Efficiency
• Quantum computation with optical coherent states
• Dynamically protected cat-qubits: a new paradigm for universal quantum computation
• Generation of a superposition of odd photon number states for quantum information networks
• Observation of quantum state collapse and revival due to the single-photon Kerr effect
• Macroscopically distinct quantum superposition states as a bosonic code for amplitude damping
• Encoding a qubit in a trapped-ion mechanical oscillator
• Increasing entanglement between Gaussian states by coherent photon subtraction
• A No-Go Theorem for Gaussian Quantum Error Correction
• Performance and structure of single-mode bosonic codes
• Hardware-efficient autonomous quantum error correction
• Generation of Optical Coherent State Superpositions by Number-Resolved Photon Subtraction from Squeezed Vacuum
• Generation of large-amplitude coherent-state superposition via ancilla-assisted photon-subtraction
• Approximate quantum error correction can lead to better codes
• Breeding the optical Schroedinger's cat state
• All-Gaussian universality and fault tolerance with the Gottesman-Kitaev-Preskill code
• Progress towards practical qubit computation using approximate Gottesman-Kitaev-Preskill codes
• Quantum computing with rotation-symmetric bosonic codes
• Propagating Gottesman-Kitaev-Preskill states encoded in an optical oscillator
• All-optical generation of states for "Encoding a qubit in an oscillator"
• Towards Scalable Bosonic Quantum Error Correction
• Generating Grid States From Schrödinger Cat States without Post-Selection
• Optical synthesis of large-amplitude squeezed coherent-state superpositions with minimal resources
• Encoding a Qubit into a Cavity Mode in Circuit-QED using Phase Estimation
• General conditions for approximate quantum error correction and near-optimal recovery channels
• A simple approach to approximate quantum error correction based on the transpose channel
• Robust preparation of Wigner-negative states with optimized SNAP-displacement sequences
• Experimental demonstration of continuous quantum error correction
• Quantum error correction against photon loss using multi-component cat states
• Loss-tolerant quantum enhanced metrology and state engineering via the reverse Hong-Ou-Mandel effect
• Transmission Of Optical Coherent State Qubits
• Sequential modular position and momentum measurements of a trapped ion mechanical oscillator
• Protecting an optical qubit against photon loss
• Squeezed Fock state by inconclusive photon subtraction
• Engineering Schrödinger cat states with a photonic even-parity detector
• Towards a Unified Framework for Approximate Quantum Error Correction
• Quantum capacity and codes for the bosonic loss-dephasing channel
• Experimental preparation and manipulation of squeezed cat states via an all-optical in-line squeezer
• Perturbative quantum error correction
• All-optical generation of deterministic squeezed Schrödinger-cat states
• Generation of squeezed Fock states by measurement

Cited by in corpus (6)

• Quantum squeezing amplification with a weak Kerr nonlinear oscillator
• Bosonic quantum error correction using squeezed Fock states
• Estimation of the set of states obtained in particle number measurement schemes
• Quantum Error Correction with Superpositions of Squeezed Fock States
• Two- and three-mode squeezing in a three-qubit entangled system
• Squeezing and quantum control of antiferromagnetic magnon pseudospin