Toss the cooked sushi rice with rice vinegar in a small bowl until well combined.
Slice the sushi-grade salmon into long, thin strips approximately half an inch thick.
Slice the poached shrimp lengthwise to create flat pieces for easier rolling.
Place one nori sheet on a bamboo mat and spread half the rice evenly, leaving the top inch clear.
Arrange half of the salmon, shrimp, julienned cucumber, and carrot in a horizontal line across the rice.
Roll the mat tightly away from you, pressing gently to create a firm cylinder, and seal the edge with a dab of water.
Slice each roll into eight even pieces using a very sharp, damp knife to prevent sticking.
Serve the fresh rolls immediately with tamari, wasabi paste, and pickled ginger on the side.