Deterministic linear optical quantum Toffoli gate

Huang, He-Liang; Bao, Wan-Su; Tan, Li; Fu, Xiang-Qun; Zhang, Shuo; Zhang, Hailong; Wang, Xiang

doi:10.1016/j.physleta.2017.06.034

Cited by 20 publications

(10 citation statements)

References 17 publications

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“…on the values p 1 , p 2 , p 3 depends from the teleported state and it becomes lowest for the eigenstates of σ 1 , σ 2 , σ 3 . In fact, the exact result for the case of N = 1 is precisely (30) with such value in (1):…”

Section: Case Pmentioning

confidence: 95%

“…This circuit employs the Toffoli gate T 1,2,a on channels 1, 2 for |χ and a for |0 a together with the C 1 Not 2 gate (already developed for ions [25,26] and photons [27]). In fact, it is well-known that Toffoli gate can be performed using CNOT gates and single-qubit gates [14] o by means of the Sleator-Weinfurter construction [28], despite other more efficient developments are known for ions [29] and photons [30]. Some single-qubit gates as Hadamard (H) and Not (X ) are also used.…”

Section: Implementation Of Weak Measurement To Project |χmentioning

confidence: 99%

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Symmetries in Teleportation Assisted by N-Channels under Indefinite Causal Order and Post-Measurement

Cardoso-Isidoro

Delgado

2020

Symmetry

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Quantum teleportation has had notorious advances in the last decade, being successfully deployed in the experimental domain. In other terrains, the understanding of indefinite causal order has demonstrated a valuable enhancement in quantum communication to correct channel imperfections. In this work, we address the symmetries underlying imperfect teleportation when it is assisted by indefinite causal order to correct the use of noisy entangled resources. In the strategy being presented, indefinite causal order introduces a control state to address the causal ordering. Then, by using post-selection, it fulfills the teleportation enhancement to recover the teleported state by constructive interference. By analysing primarily sequential teleportation under definite causal order, we perform a comparison basis for notable outcomes derived from indefinite causal order. After, the analysis is conducted by increasing the number of teleportation processes, thus suggesting additional alternatives to exploit the most valuable outcomes in the process by adding weak measurement as a complementary strategy. Finally, we discuss the current affordability for an experimental implementation.

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Section: Case Pmentioning

confidence: 95%

Section: Implementation Of Weak Measurement To Project |χmentioning

confidence: 99%

Symmetries in Teleportation Assisted by N-Channels under Indefinite Causal Order and Post-Measurement

Cardoso-Isidoro

Delgado

2020

Symmetry

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“…Moreover, a four-qubit Toffoli gate was experimentally implemented with superconducting qubits [34]. On the other hand, theoretical proposals for realizing a Toffoli gate or MCP gate with photons have been presented by using linear optical setups [36][37][38][39][40] and linear optical devices plus auxiliary systems [41][42][43], and a three-qubit Toffoli gate of photons has been experimentally demonstrated in a linear-optical setup [44,45]. Quite different from , schemes have also been proposed to directly realize an n-qubit…”

Section: Introductionmentioning

confidence: 99%

Efficient scheme for realizing a multiplex-controlled phase gate with photonic qubits in circuit quantum electrodynamics

Su¹,

Liang²,

Yang³

2022

Preprint

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We propose an efficient scheme to implement a multiplex-controlled phase gate with multiple photonic qubits simultaneously controlling one target photonic qubit based on circuit quantum electrodynamics (QED). For convenience, we denote this multiqubit gate as MCP gate. The gate is realized by using a two-level coupler to couple multiple cavities. The coupler here is a superconducting qubit. This scheme is simple because the gate implementation requires only one step of operation. In addition, this scheme is quite general because the two logic states of each photonic qubit can be encoded with a vacuum state and an arbitrary non-vacuum state |ϕ (e.g., a Fock state, a superposition of Fock states, a cat state, or a coherent state, etc.) which is orthogonal or quasi-orthogonal to the vacuum state. The scheme has some additional advantages: Because only two levels of the coupler are used, i.e., no auxiliary levels are utilized, decoherence from higher energy levels of the coupler is avoided; the gate operation time does not depend on the number of qubits; and the gate is implemented deterministically because no measurement is applied. As an example, we numerically analyze the circuit-QED based experimental feasibility of implementing a three-qubit MCP gate with photonic qubits each encoded via a vacuum state and a cat state.The scheme can be applied to accomplish the same task in a wide range of physical system, which consists of multiple microwave or optical cavities coupled to a two-level coupler such as a natural or artificial atom.

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“…To attain any feasible quantum computing, a unique three-qubit quantum gate called Deutsch gate, Toffoli gate, two input CNOT gate are developed by Shi [29]. Also, so many all-optical quantum logic gates such as hyper-parallel Toffoli gate, linear optical quantum Toffoli gate, hybrid Fredkin gate are also implemented [30][31][32]. There are so many logic gates developed using the cross Kerr non-linearity.…”

Section: Introductionmentioning

confidence: 99%

Photonic scheme for implementing quantum square root controlled Z gate using phase and intensity encoding of light

Mandal

Mukhopadhyay

2021

IET Optoelectronics

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Quantum logic gate operates on a number of qubits, where a controlled Z gate operates on two qubit data. Similarly, the square root of controlled Z (SRCZ) operates also on two qubit data. The SRCZ gate is very much advantageous in quantum computing. Different quantum gates are implemented by using the physical properties of light such as phase, polarization, intensity, and frequency. Here, the authors propose a photonic scheme for implementing quantum SRCZ logic gate using phase as well as intensity encoding. The non‐linear property of Pockels material with proper external biasing voltage is used to develop the scheme.

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Deterministic linear optical quantum Toffoli gate

Cited by 20 publications

References 17 publications

Symmetries in Teleportation Assisted by N-Channels under Indefinite Causal Order and Post-Measurement

Symmetries in Teleportation Assisted by N-Channels under Indefinite Causal Order and Post-Measurement

Efficient scheme for realizing a multiplex-controlled phase gate with photonic qubits in circuit quantum electrodynamics

Photonic scheme for implementing quantum square root controlled Z gate using phase and intensity encoding of light

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