BEGIN:VCALENDAR VERSION:2.0 PRODID:Linklings LLC BEGIN:VTIMEZONE TZID:Australia/Melbourne X-LIC-LOCATION:Australia/Melbourne BEGIN:DAYLIGHT TZOFFSETFROM:+1000 TZOFFSETTO:+1100 TZNAME:AEDT DTSTART:19721003T020000 RRULE:FREQ=YEARLY;BYMONTH=4;BYDAY=1SU END:DAYLIGHT BEGIN:STANDARD DTSTART:19721003T020000 TZOFFSETFROM:+1100 TZOFFSETTO:+1000 TZNAME:AEST RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=1SU END:STANDARD END:VTIMEZONE BEGIN:VEVENT DTSTAMP:20240214T070250Z LOCATION:Meeting Room C4.11\, Level 4 (Convention Centre) DTSTART;TZID=Australia/Melbourne:20231215T115500 DTEND;TZID=Australia/Melbourne:20231215T120500 UID:siggraphasia_SIGGRAPH Asia 2023_sess136_papers_281@linklings.com SUMMARY:Quantum Ray Marching for Reformulating Light Transport Simulation DESCRIPTION:Technical Papers\n\nLogan Mosier (University of Waterloo); Mor gan McGuire (Roblox, University of Waterloo); and Toshiya Hachisuka (Unive rsity of Waterloo)\n\nThe use of quantum computers in computer graphics ha s gained interest in recent years, especially for the application to rende ring. The current state of the art in quantum rendering relies on Grover's search for finding ray intersections in $O(\sqrt{M})$ for $M$ primitives. This quantum approach is faster than the naive approach of $O(M)$ but slo wer than $O(\log M)$ of modern ray tracing with an acceleration data struc ture. Furthermore, this quantum ray tracing method is fundamentally limite d to casting one ray at a time, leaving quantum rendering scales for the n umber of rays the same as non-quantum algorithms. We present a new quantum rendering method, quantum ray marching, based on the reformulation of ray marching as a quantum random walk. Our work is the first complete quantum rendering pipeline capable of light transport simulation and remains asym ptotically faster than non-quantum counterparts. Our quantum ray marching can trace an exponential number of paths with polynomial cost, and it leve rages quantum numerical integration to converge in $O(1/N)$ for $N$ estima tes as opposed to non-quantum $O(1/\sqrt{N})$. These properties led to fir st quantum rendering that is asymptotically faster than non-quantum Monte Carlo rendering. We numerically tested our algorithm by rendering 2D and 3 D scenes.\n\nRegistration Category: Full Access\n\nSession Chair: Bo Ren ( TMCC, Nankai University) URL:https://asia.siggraph.org/2023/full-program?id=papers_281&sess=sess136 END:VEVENT END:VCALENDAR