Abstract: This disclosure relates to methods of constructing efficient quantum circuits for Clifford loaders and variations of these methods following a similar scheme.

Abstract: A method of controlling cooling water treatment at a cooling tower may involve measuring operating data of one or more downstream heat exchangers that receive cooling water from the cooling tower. For example, the inlet and outlet temperatures of both the hot and cold streams of a downstream heat exchanger may be measured, optionally along with a flow rate of the cooling water stream passing through the heat exchanger. Data from the streams passing through the heat exchanger may be used to determine a heat transfer efficiency for the heat exchanger. The heat transfer efficiency can be trended over a period of time and changes in the trend detected to identify cooling water fouling issues. A chemical additive selected to reduce, eliminate, or otherwise control the cooling water fouling can be controlled based on the changes in heat transfer efficiency detected at the downstream heat exchanger.

Abstract: A computing system receives a stochastic process with a plurality of trajectories over time t. The computing system determines a first quantum circuit that, when executed by a quantum computing system, prepares a mixed quantum state ?? in the quantum computing system, where ? approximates a mixed quantum state of the stochastic process and is defined by: ? = ? traj P ? r [ traj ] ? ? "\[LeftBracketingBar]" ? traj ? ? ? traj ? ? "\[LeftBracketingBar]" , where Pr[traj] is a probability of a trajectory of the stochastic process, |?traj is a quantum state representing a trajectory of the stochastic process and is defined by ? "\[LeftBracketingBar]" ? traj ? = ? t f ? ( t ) ? ? "\[LeftBracketingBar]" t ? , where ƒ(t) is based on a value of the stochastic process at time t.

Abstract: This disclosure relates to methods of constructing efficient quantum circuits for Clifford loaders and variations of these methods following a similar scheme.

Abstract: A method of controlling cooling water treatment may involve measuring operating data of one or more downstream heat exchangers that receive cooling water from the cooling tower. For example, the inlet and outlet temperatures of both the hot and cold streams of a downstream heat exchanger may be measured. Data from the streams passing through the heat exchanger may be used to determine a heat transfer efficiency for the heat exchanger. The heat transfer efficiency can be trended over a period of time and changes in the trend detected to identify cooling water fouling issues. Multiple potential causes of the perceived fouling issues can be evaluated to determine a predicted cause. A chemical additive selected to reduce, eliminate, or otherwise control the cooling water fouling can be controlled based on the predicted cause of the fouling.

Abstract: A computing system receives a stochastic process with a plurality of trajectories over time t. The computing system determines a first quantum circuit that, when executed by a quantum computing system, prepares a mixed quantum state p? in the quantum computing system, where p? approximates a mixed quantum state of the stochastic process and is defined by: ? = ? t r a j P r t r a j ? t r a j ? t r a j , where Pr[traj] is a probability of a trajectory of the stochastic process, |?traj? is a quantum state representing a trajectory of the stochastic process and is defined by ? t r a j = ? t f t t , where ƒ(t) is based on a value of the stochastic process at time t.

Abstract: A method of controlling cooling water treatment may involve measuring operating data of one or more downstream heat exchangers that receive cooling water from the cooling tower. For example, the inlet and outlet temperatures of both the hot and cold streams of a downstream heat exchanger may be measured. Data from the streams passing through the heat exchanger may be used to determine a heat transfer efficiency for the heat exchanger. The heat transfer efficiency can be trended over a period of time and changes in the trend detected to identify cooling waterfouling issues. Multiple potential causes of the perceived fouling issues can be evaluated to determine a predicted cause. A chemical additive selected to reduce, eliminate, or otherwise control the cooling water fouling can be controlled based on the predicted cause of the fouling.

Abstract: This disclosure relates to methods of constructing efficient quantum circuits for Clifford loaders and variations of these methods following a similar scheme.

Abstract: Embodiments relate to a method for estimating an amplitude of a unitary operator U to within an error ? by using a quantum processor configurable to implement the unitary operator U on a quantum circuit. The quantum circuit has a maximum depth S can implement the unitary operator no more than D times in a single run. A schedule of iterations n=1 to N based on the error ? and number D is determined. Each iteration n characterized by a schedule parameter kn. kn?D for all n and kn increases at a rate that is less than exponential. The iterations n may be sequentially executed. In each iteration, the quantum processor is configured to sequentially apply and execute the unitary operator U kn times on the quantum circuit. A non-quantum processor then estimates the amplitude of the unitary operator U based on the measured resulting states.

Abstract: This disclosure relates to methods of constructing efficient quantum circuits for Clifford loaders and variations of these methods following a similar scheme.

Abstract: This disclosure relates to enhanced methods of operating quantum computing systems to perform amplitude estimation. More than that, the methods may be tuned to accommodate for specific noise levels (e.g., in given a quantum device). Embodiments also enable quantum computing systems to perform amplitude estimation faster than amplitude estimation algorithms performed using a classical (non-quantum) computer.

Abstract: Embodiments relate to a method for estimating an amplitude of a unitary operator U to within an error ? by using a quantum processor configurable to implement the unitary operator U on a quantum circuit. The quantum circuit has a maximum depth S can implement the unitary operator no more than D times in a single run. A schedule of iterations n=1 to N based on the error ? and number D is determined. Each iteration n characterized by a schedule parameter kn. kn?D for all n and kn increases at a rate that is less than exponential. The iterations n may be sequentially executed. In each iteration, the quantum processor is configured to sequentially apply and execute the unitary operator U kn times on the quantum circuit. A non-quantum processor then estimates the amplitude of the unitary operator U based on the measured resulting states.

Abstract: A method of controlling cooling water treatment may involve measuring operating data of one or more downstream heat exchangers that receive cooling water from the cooling tower. For example, the inlet and outlet temperatures of both the hot and cold streams of a downstream heat exchanger may be measured. Data from the streams passing through the heat exchanger may be used to determine a heat transfer efficiency for the heat exchanger. The heat transfer efficiency can be trended over a period of time and changes in the trend detected to identify cooling water fouling issues. Multiple potential causes of the perceived fouling issues can be evaluated to determine a predicted cause. A chemical additive selected to reduce, eliminate, or otherwise control the cooling water fouling can be controlled based on the predicted cause of the fouling.

Abstract: A method of controlling cooling water treatment at a cooling tower may involve measuring operating data of one or more downstream heat exchangers that receive cooling water from the cooling tower. For example, the inlet and outlet temperatures of both the hot and cold streams of a downstream heat exchanger may be measured, optionally along with a flow rate of the cooling water stream passing through the heat exchanger. Data from the streams passing through the heat exchanger may be used to determine a heat transfer efficiency for the heat exchanger. The heat transfer efficiency can be trended over a period of time and changes in the trend detected to identify cooling water fouling issues. A chemical additive selected to reduce, eliminate, or otherwise control the cooling water fouling can be controlled based on the changes in heat transfer efficiency detected at the downstream heat exchanger.