Quantum Error Correction and Fault Tolerant Quantum Computing

Gaitan, Frank

doi:10.1201/b15868

Cited by 102 publications

(82 citation statements)

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“…According to Eqs. (16) and (17), one can calculate the g 2 and g 3 , which are g 2 /2π ∼ 86.89 MHz and g 3 /2π ∼ 151.49…”

Section: Possible Experimental Implementationmentioning

confidence: 99%

Circuit QED: single-step realization of a multiqubit controlled phase gate with one microwave photonic qubit simultaneously controlling n − 1 microwave photonic qubits

Ye¹,

Zheng²,

Yu³

et al. 2018

Opt. Express

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We present a novel method to realize a multi-target-qubit controlled phase gate with one microwave photonic qubit simultaneously controlling n − 1 target microwave photonic qubits. This gate is implemented with n microwave cavities coupled to a superconducting flux qutrit. Each cavity hosts a microwave photonic qubit, whose two logic states are represented by the vacuum state and the single photon state of a single cavity mode, respectively. During the gate operation, the qutrit remains in the ground state and thus decoherence from the qutrit is greatly suppressed.This proposal requires only a single-step operation and thus the gate implementation is quite simple. The gate operation time is independent of the number of the qubits. In addition, this proposal does not need applying classical pulse or any measurement. Numerical simulations demonstrate that high-fidelity realization of a controlled phase gate with one microwave photonic qubit simultaneously controlling two target microwave photonic qubits is feasible with current circuit QED technology. The proposal is quite general and can be applied to implement the proposed gate in a wide range of physical systems, such as multiple microwave or optical cavities coupled to a natural or artificial Λ-type three-level atom.

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“…According to Eqs. (16) and (17), one can calculate the g 2 and g 3 , which are g 2 /2π ∼ 86.89 MHz and g 3 /2π ∼ 151.49…”

Section: Possible Experimental Implementationmentioning

confidence: 99%

Circuit QED: single-step realization of a multiqubit controlled phase gate with one microwave photonic qubit simultaneously controlling n − 1 microwave photonic qubits

Ye¹,

Zheng²,

Yu³

et al. 2018

Opt. Express

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show abstract

“…An important topic in quantum information is the theory of error correction codes [1][2][3][4][5][6] used to protect quantum information from decoherence and other noises. The information is encoded in the density matrix ρ of the system.…”

Section: Introductionmentioning

confidence: 99%

Non-commutative graphs and quantum error correction for a two-mode quantum oscillator

Amosov

Mokeev

Pechen

2020

Quantum Inf Process

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An important topic in quantum information is the theory of error correction codes. Practical situations often involve quantum systems with states in an infinite dimensional Hilbert space, for example coherent states. Motivated by these practical needs, we develop the theory of non-commutative graphs, which is a tool to analyze error correction codes, to infinite dimensional Hilbert spaces. As an explicit example, a family of non-commutative graphs associated with the Schrödinger equation describing the dynamics of a two-mode quantum oscillator is constructed and maximal quantum anticliques for these graphs are found.

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“…This multiqubit gate is useful in quantum computing and quantum information processing, such as in entanglement preparation [46], error correction [47], quantum algorithms [48], and quantum cloning [49]. After a deep search of the literature, we found that how to directly realize this multiqubit gate with cat-state qubits has not been reported yet.…”

Section: Introductionmentioning

confidence: 99%

One-step implementation of a multi-target-qubit controlled phase gate with cat-state qubits in circuit QED

et al. 2018

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We propose a single-step implementation of a muti-target-qubit controlled phase gate with one cat-state qubit (cqubit) simultaneously controlling n − 1 target cqubits. The two logic states of a cqubit are represented by two orthogonal cat states of a single cavity mode. In this proposal, the gate is implemented with n microwave cavities coupled to a superconducting transmon qutrit.Because the qutrit remains in the ground state during the gate operation, decoherence caused due to the qutrit's energy relaxation and dephasing is greatly suppressed. The gate implementation is quite simple because only a single-step operation is needed and neither classical pulse nor measurement is required. Numerical simulations demonstrate that high-fidelity realization of a controlled phase gate with one cqubit simultaneously controlling two target cqubits is feasible with present circuit QED technology. This proposal can be extended to a wide range of physical systems to realize the proposed gate, such as multiple microwave or optical cavities coupled to a natural or artificial three-level atom.

show abstract

Quantum Error Correction and Fault Tolerant Quantum Computing

Cited by 102 publications

References 0 publications

Circuit QED: single-step realization of a multiqubit controlled phase gate with one microwave photonic qubit simultaneously controlling n − 1 microwave photonic qubits

Circuit QED: single-step realization of a multiqubit controlled phase gate with one microwave photonic qubit simultaneously controlling n − 1 microwave photonic qubits

Non-commutative graphs and quantum error correction for a two-mode quantum oscillator

One-step implementation of a multi-target-qubit controlled phase gate with cat-state qubits in circuit QED

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