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We design a controlled-phase gate for linear optical quantum computing byusing photodetectors that cannot resolve photon number. An intrinsicerror-correction circuit corrects errors introduced by the detectors. Ourcontrolled-phase gate has a 1/4 success probability. Recent development incluster-state quantum computing has shown that a two-qubit gate with non-zerosuccess probability can build an arbitrarily large cluster state with onlypolynomial overhead. Hence, it is possible to generate optical cluster stateswithout number-resolving detectors and with polynomial overhead.Comment: 10 pages, 4 figures, 4 tables; made significant revisions and changed  forma

ALTERNATE SCHEME FOR OPTICAL CLUSTER-STATE GENERATION WITHOUT NUMBER-RESOLVING PHOTON DETECTORS