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Scaffold: Quantum Programming Language
, 2012
"... reprints for Governmental purposes notwithstanding any copyright annotation thereon. Disclaimer: The views and conclusions contained herein are those of the authors and should not be interpreted as necessarily representing the official policies or endorsements, either expressed or implied, of IARPA ..."
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reprints for Governmental purposes notwithstanding any copyright annotation thereon. Disclaimer: The views and conclusions contained herein are those of the authors and should not be interpreted as necessarily representing the official policies or endorsements, either expressed or implied, of IARPA, DoI/NBC, or the U.S. Government. 1
LEQA: Latency Estimation for a Quantum Algorithm Mapped to a Quantum Circuit Fabric
 in DAC
, 2013
"... ABSTRACT This paper presents LEQA, a fast latency estimation tool for evaluating the performance of a quantum algorithm mapped to a quantum fabric. The actual quantum algorithm latency can be computed by performing detailed scheduling, placement and routing of the quantum instructions and qubits in ..."
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ABSTRACT This paper presents LEQA, a fast latency estimation tool for evaluating the performance of a quantum algorithm mapped to a quantum fabric. The actual quantum algorithm latency can be computed by performing detailed scheduling, placement and routing of the quantum instructions and qubits in a quantum operation dependency graph on a quantum circuit fabric. This is, however, a very expensive proposition that requires large amounts of processing time. Instead, LEQA, which is based on computing the neighborhood population counts of qubits, can produce estimates of the circuit latency with good accuracy (i.e., an average of less than 3% error) with up to two orders of magnitude speedup for midsize benchmarks. This speedup is expected to increase superlinearly as a function of circuit size (operation count).
Optimal ILPBased Approach for Gate Location Assignment and Scheduling in Quantum Circuits
"... Physical design and synthesis are two key processes of quantum circuit design methodology. The physical design process itself decomposes into scheduling, mapping, routing, and placement. In this paper, a mathematical model is proposed for mapping, routing, and scheduling in iontrap technology in o ..."
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Physical design and synthesis are two key processes of quantum circuit design methodology. The physical design process itself decomposes into scheduling, mapping, routing, and placement. In this paper, a mathematical model is proposed for mapping, routing, and scheduling in iontrap technology in order to minimize latency of the circuit. The proposed model which is a mixed integer linear programming (MILP) model gives the optimal locations for gates and the best sequence of operations in terms of latency. Experimental results show that our scheme outperforms the other schemes for the attempted benchmarks.
Squash: A Scalable Quantum Mapper Considering Ancilla Sharing
"... Quantum algorithms for solving problems of interesting size often result in circuits with a very large number of qubits and quantum gates. Fortunately, these algorithms also tend to contain a small number of repetitivelyused quantum kernels. Identifying the quantum logic blocks that implement such ..."
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Quantum algorithms for solving problems of interesting size often result in circuits with a very large number of qubits and quantum gates. Fortunately, these algorithms also tend to contain a small number of repetitivelyused quantum kernels. Identifying the quantum logic blocks that implement such quantum kernels is critical to the complexity management for realizing the corresponding quantum circuit. Moreover, quantum computation requires some type of quantum error correction coding to combat decoherence, which in turn results in a large number of ancilla qubits in the circuit. Sharing the ancilla qubits among quantum operations (even though this sharing can increase the overall circuit latency) is important in order to curb the resource demand of the quantum algorithm. This paper presents a multicore reconfigurable quantum processor architecture, called Requp, which supports a layered approach to mapping a quantum algorithm and ancilla sharing. More precisely, a scalable quantum mapper, called Squash, is introduced, which divides a given quantum circuit into a number of quantum kernels—each kernel comprises k parts such that each part will run on exactly one of k available cores. Experimental results demonstrate that Squash can handle largescale quantum algorithms while providing an effective mechanism for sharing ancilla qubits.
Design of a Universal Logic Block for FaultTolerant Realization of any Logic Operation in TrappedIon Quantum Circuits
"... Abstract This paper presents a physical mapping tool for quantum circuits, which generates the optimal Universal Logic Block (ULB) that can, on average, perform any logical faulttolerant (FT) quantum operations with the minimum latency. The operation scheduling, placement, and qubit routing proble ..."
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Abstract This paper presents a physical mapping tool for quantum circuits, which generates the optimal Universal Logic Block (ULB) that can, on average, perform any logical faulttolerant (FT) quantum operations with the minimum latency. The operation scheduling, placement, and qubit routing problems tackled by the quantum physical mapper are highly dependent on one another. More precisely, the scheduling solution affects the quality of the achievable placement solution due to resource pressures that may be created as a result of operation scheduling whereas the operation placement and qubit routing solutions influence the scheduling solution due to resulting distances between predecessor and current operations, which in turn determines routing latencies. The proposed flow for the quantum physical mapper captures these dependencies by applying (i) a loose scheduling step, which transforms an initial quantum data flow graph into one that explicitly captures the nocloning theorem of the quantum computing and then performs instruction scheduling based on a modified forcedirected scheduling approach to minimize the resource contention and quantum circuit latency, (ii) a placement step, which uses timingdriven instruction placement to minimize the approximate routing latencies while making iterative calls to the aforesaid forcedirected scheduler to correct scheduling levels of quantum operations as needed, and (iii) a routing step that finds dynamic values of routing latencies for the qubits. In addition to the quantum physical mapper, an approach is presented to determine the single best ULB size for a target quantum circuit by examining the latency of different