FREDKIN GATE PDF

Minimizing the resources required to build logic gates into useful processing circuits is key to realizing quantum computers. Although the salient features of a quantum computer have been shown in proof-of-principle experiments, difficulties in scaling quantum systems have made more complex operations intractable. This is exemplified in the classical Fredkin controlled-SWAP gate for which, despite theoretical proposals, no quantum analog has been realized. By adding control to the SWAP unitary, we use photonic qubit logic to demonstrate the first quantum Fredkin gate, which promises many applications in quantum information and measurement. We implement example algorithms and generate the highest-fidelity three-photon Greenberger-Horne-Zeilinger states to date.

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Minimizing the resources required to build logic gates into useful processing circuits is key to realizing quantum computers. Although the salient features of a quantum computer have been shown in proof-of-principle experiments, difficulties in scaling quantum systems have made more complex operations intractable.

This is exemplified in the classical Fredkin controlled-SWAP gate for which, despite theoretical proposals, no quantum analog has been realized. By adding control to the SWAP unitary, we use photonic qubit logic to demonstrate the first quantum Fredkin gate, which promises many applications in quantum information and measurement. We implement example algorithms and generate the highest-fidelity three-photon Greenberger-Horne-Zeilinger states to date.

The technique we use allows one to add a control operation to a black-box unitary, something that is impossible in the standard circuit model. Our experiment represents the first use of this technique to control a two-qubit operation and paves the way for larger controlled circuits to be realized efficiently.

Keywords: Fredkin controlled-SWAP gate; GHZ states; circuits; downconversion; entanglement; logic gate; photons; quantum computers; quantum optics; qubits. Estimations of nonlinear functionals of a single-qubit state with the quantum Fredkin gate. This site needs JavaScript to work properly. Please enable it to take advantage of the complete set of features! Clipboard, Search History, and several other advanced features are temporarily unavailable.

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Figures Fig. Experimental arrangement and truth table…. Experimental arrangement and truth table measurements. A The quantum Fredkin gate circuit. The states of the target qubits are either swapped or not swapped, depending on the state of the control qubit.

B Concept of our experiment. C The experimental arrangement. Entering the gate via a single-mode fiber, the two target photons are sent through a PBS. The path-entangled state in Eq. The control consists of a polarization beam displacer interferometer.

The desired control state is encoded onto modes 1 R and 1 B and coherently recombined. A tilted HWP is used to set the phase of the output state. Successful operation is heralded by fourfold coincidence events between the control, target, and trigger detectors.

D Ideal transparent bars and measured solid bars truth table data for our gate. Real left and imaginary right …. Real left and imaginary right parts of the reconstructed density matrices for our….

Fidelity and purity were calculated for each state. Measured correlations for violations of…. Error bars were calculated from Poissonian counting statistics.

Estimations of nonlinear functionals of…. A Circuit diagram of the network. C Measurements of state purity. We measure a visibility of 0. See this image and copyright information in PMC. Ono T, et al.

Sci Rep. One-step implementation of a hybrid Fredkin gate with quantum memories and single superconducting qubit in circuit QED and its applications. Liu T, et al. Opt Express. PMID: Implementation of a Toffoli gate with superconducting circuits.

Fedorov A, et al. Ultrafast optical control of individual quantum dot spin qubits. De Greve K, et al. Rep Prog Phys. Epub Sep 4. PMID: Review. Patient-practitioner-remedy PPR entanglement. Part 4. Towards classification and unification of the different entanglement models for homeopathy. Milgrom LR. Show more similar articles See all similar articles. Cited by 7 articles Modular quantum computation in a trapped ion system.

Zhang K, et al. Nat Commun. Implementation of SWAP test for two unknown states in photons via cross-Kerr nonlinearities under decoherence effect. Kang MS, et al. An experimental quantum Bernoulli factory. Patel RB, et al. Sci Adv. Witnessing eigenstates for quantum simulation of Hamiltonian spectra. Santagati R, et al. Implementation of a quantum controlled-SWAP gate with photonic circuits. Show more "Cited by" articles See all "Cited by" articles. References Kok P. Photonics 3, — Ladd T.

Nature , 45—53 A 53, — Nature , — Publication types Research Support, Non-U.

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We propose the generation of effective three-body interactions in superconducting circuits by coupling qubits or resonators to a bus qubit. Such interactions are characterized by energy exchange between two qubits or resonators depending on the state of the bus qubit. We show that a controlled-i swap - i s w a p gate can be naturally implemented based on the three-body interactions and it can be used to construct a quantum Fredkin controlled- swap gate. A generalized Fredkin gate which controls the swapping of photons between two resonators can be realized in a similar way. It can be used to generate the entangled state of a high number of photons. This proposal is promising to be demonstrated with superconducting circuits previously reported and will stimulate the implementation of multiqubit quantum gates based on many-body interactions.

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Fredkin gate

It is universal , which means that any logical or arithmetic operation can be constructed entirely of Fredkin gates. The Fredkin gate is a circuit or device with three inputs and three outputs that transmits the first bit unchanged and swaps the last two bits if, and only if, the first bit is 1. The C input is mapped directly to the C output. Otherwise, the two outputs are swapped so that I 1 maps to O 2 , and I 2 maps to O 1. It is easy to see that this circuit is reversible, i.

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A Quantum Fredkin Gate

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