Abstract: A quantum computer executes quantum measurement of <?1|Pi|?2>, <?1|Uij,+|?2>, <?1|Uij,?|?2>, <?1|Pj|?2>, and <?1|PiPj|?2< below based on a quantum state pair configured by a first quantum state ?1 and a second quantum state ?2, and outputs measurement results of the quantum measurement. A classical computer computes a transition amplitude |<?1|A|?2>|2 based on measurement results for <?1|Pi|?2>, <?1|Uij,+|?2>, <?1|Uij,?|?2>, <?1|Pj|?2>, and <?1|PiPj|?2>, wherein A is a physical quantity for computation of transition amplitude, i and j are indices for identifying a and P, a is a real number, P is a tensor product of a Pauli matrix, U is a unitary gate, and <?1|?2>=0.

Abstract: Provided is a curing catalyst having a high safety and a practical curing rate. According to the present invention, provided is a curing catalyst [B] used for curing a polymer [A] having a reactive hydrolyzable silicon-containing group, wherein the curing catalyst [B] contains a complex of a titanium compound [B1] and an ammonium hydroxide [B2], and an amino group-containing compound [B3] containing a primary amino group and/or a secondary amino group, the titanium compound [B1] is represented by Chemical Formula (1), and the ammonium hydroxide [B2] is represented by Chemical Formula (2).

Abstract: Provided is a curing catalyst having a high safety and a practical curing rate. According to the present invention, provided is a curing catalyst [B] used for curing a polymer [A] having a reactive hydrolyzable silicon-containing group, wherein the curing catalyst [B] contains a complex [C] of a titanium compound [B1] and an ammonium hydroxide [B2], the titanium compound [B1] is represented by Chemical Formula (1), and the ammonium hydroxide [B2] is represented by Chemical Formula (2).

Abstract: Provided is a curing catalyst having a high safety and a practical curing rate. According to the present invention, provided is a curing catalyst [B] used for curing a polymer [A] having a reactive hydrolyzable silicon-containing group, wherein the curing catalyst [B] contains a complex of a titanium compound [B1] and an ammonium hydroxide [B2], and an amine compound [B3], the titanium compound [B1] is represented by Chemical Formula (1), the ammonium hydroxide [B2] is represented by Chemical Formula (2), and the amine compound [B3] is represented by Chemical Formula (3), Chemical Formula (4), or Chemical Formula (5).

Abstract: Provided is a curing catalyst having a high safety and a practical curing rate. According to the present invention, provided is a curing catalyst [B] used for curing a polymer [A] having a reactive hydrolyzable silicon-containing group, wherein the curing catalyst [B] contains a catalyst composition obtained by forming a complex by reacting a titanium compound [B1] with an ammonium hydroxide [B2] in a mixture obtained by mixing the titanium compound [B1] and the ammonium hydroxide [B2], a molar ratio of the titanium compound [B1] to the ammonium hydroxide [B2] in the mixture is 1 to 2.8, the titanium compound [B1] is represented by Chemical Formula (1), the ammonium hydroxide [B2] is represented by Chemical Formula (2).

Abstract: When considering the prior art, the objective of the present invention is to provide a curing catalyst which is highly safe and has a curing rate suitable for practical use. According to the present invention, provided is a curing catalyst [B] which is used for curing a polymer [A] having a reactive hydrolyzable silicon-containing group, the curing catalyst [B] containing a metal alkoxide [B1] and an ammonium hydroxide [B2], wherein: the metal alkoxide [B1] includes one or both of a titanium compound [B1a] represented by chemical formula (1) and another metal alkoxide [B1b]; the another metal alkoxide [B1b] is an alkoxide of a metal other than titanium; and the ammonium hydroxide [B2] is represented by chemical formula (2).

Abstract: The purpose of the present invention is to provide a curing catalyst that is highly stable and has a practical curing speed. The present invention provides a curing catalyst [B] used for curing a polymer [A] that has a reactive hydrolyzable silicon-containing group. The curing catalyst [B] contains the reaction products of a metal alkoxide [B1] and an ammonium hydroxide [B2]. The metal alkoxide [B1] includes one or both of a titanium compound [B1a] that is represented by chemical formula (1), and another metal alkoxide [B1b]. The other metal alkoxide [B1b] is an alkoxide of a metal other than titanium, and the ammonium hydroxide [B2] is represented by chemical formula (2).

Abstract: A quantum computer executes quantum measurement of <?1|Pi|?2>, <?1|Uij,+|?2>, <?1|Uij,?|?2>, <?1|Pj|?2>, and <?1|PiPj|?2< below based on a quantum state pair configured by a first quantum state ?1 and a second quantum state ?2, and outputs measurement results of the quantum measurement. A classical computer computes a transition amplitude |<?1|A|?2>|2 based on measurement results for <?1|Pi|?2>, <?1|Uij,+|?2>, <?1|Uij,?|?2>, <?1|Pj|?2>, and <?1|PiPj|?2>, wherein A is a physical quantity for computation of transition amplitude, i and j are indices for identifying a and P, a is a real number, P is a tensor product of a Pauli matrix, U is a unitary gate, and <?1|?2>=0.

Abstract: A classical computer outputs a Hamiltonian and initial information of a parameter expressing a quantum circuit. The classical computer, according to a parameter expressing a first quantum circuit that was output from a quantum computer and was generated by quantum computation employing a Variational Quantum Eigensolver (VQE) based on the Hamiltonian and the initial information, generates a parameter expressing a second quantum circuit including a rotation gate and outputs the parameter expressing the second quantum circuit. The classical computer, based on measurement results of quantum computation that were output from the quantum computer and computed according to the parameter expressing the second quantum circuit, based on the Hamiltonian, and based on a derivative function of the Hamiltonian, generates a derivative function of energy corresponding to the Hamiltonian and outputs the derivative function of energy.

Abstract: A classical computer decides a set of k+1 mutually orthogonal initial states for a Hamiltonian H of qubit number n, wherein k is an integer from 0 to 2n?1, and n is a positive integer. The classical computer decides a first quantum circuit U (?) that is a unitary quantum circuit of qubit number n. The classical computer decides a first parameter ?i and generating quantum computation information for executing the first quantum circuit U (?i) on a qubit cluster of a quantum computer. The classical computer stores a computation result of respective quantum computations based on the quantum computation information for each of the set of initial states. The classical computer computes an expected value sum L1 (?i) of the Hamiltonian H based on the computation results for the initial states. The classical computer stores a value ?* when a convergence condition has been satisfied.

Abstract: Provided is an organic tin-free cationic electrodeposition coating composition which does not contain organic tin compound and can sustain a superior coating curability under currently used baking conditions, and to a catalyst for the composition. A catalyst for electrodeposition coating composition containing a bismuth compound (A), wherein: the bismuth compound is a compound having a ligand prepared from a ?-diketone represented by Chemical Formula (1) is provided.

Abstract: Provided is an organic tin-free cationic electrodeposition coating composition which does not contain organic tin compound and can sustain a superior coating curability under currently used baking conditions, and to a catalyst for the composition. A catalyst for electrodeposition coating composition containing a bismuth compound (A), wherein: the bismuth compound is a compound having a ligand prepared from a ?-diketone represented by Chemical Formula (1) is provided.